The... of a particle is defined as its change in position in some time interval.

Size: px
Start display at page:

Download "The... of a particle is defined as its change in position in some time interval."

Transcription

1 Distance is the. of a path followed by a particle. Distance is a quantity. The... of a particle is defined as its change in position in some time interval. Displacement is a.. quantity. The... of a particle is defined as the total distance traveled divided by the total time interval required to travel that distance: The average speed is the.. divided by the time interval. The average speed of a particle is a quantity. The. of a particle is equal to the ratio of the total distance it travels to the total time interval during which it travels that distance. The average velocity of a particle during some time interval is the... divided by the time interval. The definition of the average velocity is:. The average velocity of a particle is a quantity. The position of the particle is x(t)= 4 + t 2 + t 3, its average velocity between 1s and 3s is: The instantaneous velocity of a particle is defined as the.... The instantaneous velocity of a particle is the derivative of the versus... The instantaneous speed of a particle is equal to the of its instantaneous velocity. The velocity at any instant is the. of the tangent to the x -t graph at that instant. The of a particle is defined as the ratio of the change in its velocity divided by the time interval during which that change occurs. The definition of the average acceleration is:. The velocity of the particle is v(t)= 4 + t 2 + t 3, its average acceleration between 1s and 3s is: The instantaneous acceleration equals the derivative of the with respect to time.

2 The instantaneous equals the time rate of change of the velocity. The acceleration at any instant is the... to the v -t graph at that instant. The is the difference between its final position vector and its initial position vector: The direction of the instantaneous velocity vector at any point in a particle s path is along a line.. at that point and in the direction of motion. The acceleration vector in uniform circular motion is always. to the path and always points toward the. of the circle. For uniform circular motion, the acceleration vector can only have a component. to the path. For uniform circular motion, the acceleration vector can only have a component, which is toward the of the circle. The tangential acceleration component causes the change in the.... of the particle. The radial acceleration component arises from the change of the velocity vector. The of the particle measured by an observer in one frame of reference is the same as that measured by any other observer moving with constant velocity relative to the first frame. The acceleration of the particle measured by an observer in one frame of reference is the same as that measured by any other observer moving with relative to the first frame. Any reference frame that moves with constant velocity relative to an inertial frame is itself. frame. When no force acts on an object, the acceleration of the object is.. If an object does not interact with other objects, it is possible to identify a reference frame in which the object has.. acceleration. In the absence of....., when viewed from an inertial reference frame, an object at rest remains at rest and an object in motion continues in motion with a constant velocity. In the absence of....., when viewed from an inertial reference frame, an object at rest remains at rest and an object in motion continues in motion with a constant speed in a straight line. The tendency of an object to resist any attempt to change its velocity is called..... is an inherent property of an object and is independent of the object s surroundings and of the method used to measure it.

3 Mass is a... quantity The acceleration of an object is directly proportional to the acting on it. The magnitude of the acceleration of an object is inversely proportional to its.. Gravitational mass and inertial mass have the.. The action force is.. in magnitude to the reaction force and. in direction. The action and reaction forces act on. objects. When we apply Newton s laws to an object, we are interested only in. forces that act on the object. The magnitude of the force of static friction between any two surfaces in contact can have the values: The direction of the kinetic friction force on an object is.. to the surface with which the object is in contact and.. to the actual motion. The maximum force of static friction fs,max between an object and a surface is. to the normal force acting on the object. The direction of the force of kinetic friction fk is. the direction of motion of the object relative to the surface. The force of kinetic friction is proportional to the magnitude of the l force. In the limiting case for a falling object, when the magnitude of the resistive force equals the object s weight, the object reaches its... A small sphere of mass m is hung by a cord from the ceiling of a boxcar that is accelerating to the right. A noninertial observer in the boxcar claims that forces act on the sphere in order to cause the observed deviation of the cord from the vertical: the force of gravity, the tension int he string and.. A small sphere of mass m is hung by a cord from the ceiling of a boxcar that is accelerating to the right. A noninertial observer in the boxcar claims that the forces acing on the sphere in order to cause the observed deviation of the cord from the vertical: the.. A small sphere of mass m is hung by a cord from the ceiling of a boxcar that is accelerating to the right. An inertial observer on the platform claims that.. forces act on the sphere in order to cause the observed deviation of the cord from the vertical. A small sphere of mass m is hung by a cord from the ceiling of a boxcar that is accelerating to the right. An inertial observer on the platform claims that the forces acing on the sphere in order to cause the observed deviation of the cord from the vertical: the. An object falling through air reaches terminal speed when the net force acting on it is...

4 The work W done on a system by an agent exerting a constant force on the system is: The work done by the centripetal force is.. The work done by the net force equals the change in. of the system. The work kinetic energy theorem states that the net work done on a particle by external forces equals the change in the.. of the particle. The time rate of energy transfer is called. If an agent applies a force F to an object moving with a velocity v, the power delivered by that agent is: The work done by the component Fx of the varying force as the particle moves from xi to xf is exactly equal to the.. under the Fx - x curve. The sum of kinetic and potential energies is the.. energy of the system. An system is one for which there are no energy transfers across the boundary. The work done by a.. force on a particle moving between any two points is independent of the path taken by the particle. The work done by a conservative force on a particle moving through any closed path is.. The change in the potential energy of a system is equal to: The definition of the potential energy function associated to a conservative force is: The gravitational potential energy function is:. The potential energy function of the spring force is: The x component of a conservative force acting on an object within a system equals the negative derivative of the.. of the system with respect to x. The force F equals the negative of the gradient of the energy function.

5 For the potential energy curve shown in the figure (a) Determine whether the force Fx is positive, negative, or zero at the five points indicated. (b)indicate points of stable equilibrium. (c) Indicate points of unstable equilibrium. A particle moves along a line where the potential energy of its system depends on its position r as graphed in the figure. In the limit as r increases without bound, U(r) approaches +1 J. (a) Identify each equilibrium position for this particle. Indicate whether each is a point of stable, unstable, or neutral equilibrium. (b) The particle will be bound if the total energy of the system is in what range? Now suppose that the system has energy +3 J. (c) Determine the range of positions where the particle can be found, (d) its maximum kinetic energy,

6 (e) the location where it has maximum kinetic energy, and (f) the binding energy of the system that is, the additional energy that it would have to be given in order for the particle to move out to infinity. Ch 9 The linear momentum of a particle of mass m moving with a velocity v is defined as:. The time rate of change of the linear momentum of a particle is equal to the. acting on the particle. The total momentum of an isolated system at all times equals its.. momentum. The impulse momentum theorem: the impulse of the force F acting on a particle equals the change in the of the particle. The impulse of the force F acting on a particle over the time interval t = tf - ti :. In the impulse approximation we assume that one of the forces exerted on a particle acts for a short time but is much greater than any other force present. In an elastic collision the total (as well as total momentum) of the system is the same before and after the collision. In an inelastic collision the total kinetic energy of the system is.. before and after the collision (even though the momentum of the system is conserved). In a inelastic collision the colliding objects stick together. The x coordinate of the center of mass of n particles is defined: The y coordinate of the center of mass of n particles is defined: The z coordinate of the center of mass of n particles is defined: The center of mass of any symmetric object lies on. The velocity of the center of mass of the system: The acceleration of the center of mass of the system: The total linear momentum of the system equals the total mass multiplied by the... The net external force on a system of particles equals.. Internal forces change the motion of the center of mass of the system. Ch 10, Ch 11

7 The.. position of a rigid object is defined as the angle between a reference line attached to the object and a reference line fixed in space. The angular displacement of a particle moving in a circular path or a rigid object rotating about a fixed axis is:. The definition of the angular speed is: The definition of the angular acceleration is:.. The tangential speed of a point on a rotating rigid object equals the perpendicular distance of that point from the axis of rotation multiplied by the.. The tangential component of the linear acceleration of a point on a rotating rigid object equals the point s distance from the axis of rotation multiplied by the... The definition of the moment of inertia is: The rotational kinetic energy is:.. The parallel-axis theorem states that the moment of inertia about any axis parallel to and a distance D away from an axis through the center of mass: The magnitude of the torque associated with a force F acting on an object is. The torque acting on the particle is proportional to its, and the proportionality constant is the.. The net work done by forces in rotating a symmetric rigid object about a fixed axis equals the change in the object s... The linear speed of the center of mass for pure rolling motion is given by: The magnitude of the linear acceleration of the center of mass for pure rolling motion is: The total kinetic energy of a rolling object is the sum of the energy about the center of mass and the translational kinetic energy of the center of mass. The definition of the angular momentum L of a particle relative to the origin O is:.. The torque acting on a particle is equal to the time rate of change of the particle s. A particle in uniform circular motion has a.. angular momentum about an axis through the center of its path. The net external torque acting on a system about some axis passing through an origin in an inertial frame equals the time rate of change of the. momentum of the system about that origin.

8 The resultant torque acting on a system about an axis through the equals the time rate of change of angular momentum of the system regardless of the motion of the center of mass. The z component of angular momentum of a rigid object rotating about a fixed z axis is: The net external torque acting on a rigid object rotating about a fixed axis equals the moment of inertia about the rotation axis multiplied by the object s relative to that axis. If the net external torque acting on a system is zero, then the total angular momentum of the system is. Ch 12 A rigid object is in equilibrium if and only if the resultant force acting on it is zero and the resultant torque on it is zero about any axis: The elastic modulus is defined as the ratio of the. to the resulting. Young s modulus measures the resistance of a solid to a change in its... measures the resistance to motion of the planes within a solid parallel to each other Bulk modulus, which measures the resistance of solids or liquids to changes in their.. Ch 15 An object moves with simple harmonic motion whenever its. is proportional to its position and is... directed to the displacement from equilibrium. The.. T of the motion is the time interval required for the particle to go through one full cycle of its motion. The.. represents the number of oscillations that the particle undergoes per unit time interval. If a block spring system moves in simple harmonic motion the angular frequency is:. The angular frequency of a system moving in simple harmonic motion is determined by.. The amplitude and initial phase of a system moving in simple harmonic motion are determined by.. The potential energy of a particle performing simple harmonic motion is: The kinetic energy of a particle performing simple harmonic motion is: The total mechanical energy of a simple harmonic oscillator is a constant of the motion and is proportional to the square of the.

9 Close to the minimum any potential energy curve can be approached by a parabola, therefore for small displacements from the equilibrium position the system performs..... Uniform circular motion can be considered a combination of two simple harmonic motions, one along the x axis and one along the y axis, with the two differing in phase by... The period of a simple pendulum is:.. The period and frequency of a simple pendulum depend only on the and the. The period of a physical pendulum is:.. The frequency of the damped oscillator is... than the natural frequency. When the retarding force is small, the oscillatory character of the motion is preserved but the amplitude in time. If an oscillator experiences a damping force proportional to the velocity, its position for small damping is described by The forced oscillator vibrates at the frequency of the. The amplitude of the forced oscillator is a function of the.. of the driving force. When the frequency of the driving force is near the natural frequency of oscillation, the amplitude is. If the damping is less, the amplitude of oscillation at the resonance frequency is. At resonance the applied force is in with the velocity and the power transferred to the oscillator is a maximum. If an oscillator is subject to a sinusoidal driving force F(t) = F0 sin t, it exhibits resonance, in which the amplitude is largest when the driving frequency matches the. of the oscillator.

Physics for Scientists and Engineers 4th Edition, 2017

Physics for Scientists and Engineers 4th Edition, 2017 A Correlation of Physics for Scientists and Engineers 4th Edition, 2017 To the AP Physics C: Mechanics Course Descriptions AP is a trademark registered and/or owned by the College Board, which was not

More information

2007 Problem Topic Comment 1 Kinematics Position-time equation Kinematics 7 2 Kinematics Velocity-time graph Dynamics 6 3 Kinematics Average velocity

2007 Problem Topic Comment 1 Kinematics Position-time equation Kinematics 7 2 Kinematics Velocity-time graph Dynamics 6 3 Kinematics Average velocity 2007 Problem Topic Comment 1 Kinematics Position-time equation Kinematics 7 2 Kinematics Velocity-time graph Dynamics 6 3 Kinematics Average velocity Energy 7 4 Kinematics Free fall Collisions 3 5 Dynamics

More information

Course Name: AP Physics. Team Names: Jon Collins. Velocity Acceleration Displacement

Course Name: AP Physics. Team Names: Jon Collins. Velocity Acceleration Displacement Course Name: AP Physics Team Names: Jon Collins 1 st 9 weeks Objectives Vocabulary 1. NEWTONIAN MECHANICS and lab skills: Kinematics (including vectors, vector algebra, components of vectors, coordinate

More information

Oscillatory Motion SHM

Oscillatory Motion SHM Chapter 15 Oscillatory Motion SHM Dr. Armen Kocharian Periodic Motion Periodic motion is motion of an object that regularly repeats The object returns to a given position after a fixed time interval A

More information

AP PHYSICS 1 Learning Objectives Arranged Topically

AP PHYSICS 1 Learning Objectives Arranged Topically AP PHYSICS 1 Learning Objectives Arranged Topically with o Big Ideas o Enduring Understandings o Essential Knowledges o Learning Objectives o Science Practices o Correlation to Knight Textbook Chapters

More information

Axis Balanced Forces Centripetal force. Change in velocity Circular Motion Circular orbit Collision. Conservation of Energy

Axis Balanced Forces Centripetal force. Change in velocity Circular Motion Circular orbit Collision. Conservation of Energy When something changes its velocity The rate of change of velocity of a moving object. Can result from a change in speed and/or a change in direction On surface of earth, value is 9.8 ms-²; increases nearer

More information

Chapter 15. Oscillatory Motion

Chapter 15. Oscillatory Motion Chapter 15 Oscillatory Motion Part 2 Oscillations and Mechanical Waves Periodic motion is the repeating motion of an object in which it continues to return to a given position after a fixed time interval.

More information

Periodic Motion. Periodic motion is motion of an object that. regularly repeats

Periodic Motion. Periodic motion is motion of an object that. regularly repeats Periodic Motion Periodic motion is motion of an object that regularly repeats The object returns to a given position after a fixed time interval A special kind of periodic motion occurs in mechanical systems

More information

PHYSICS. Course Structure. Unit Topics Marks. Physical World and Measurement. 1 Physical World. 2 Units and Measurements.

PHYSICS. Course Structure. Unit Topics Marks. Physical World and Measurement. 1 Physical World. 2 Units and Measurements. PHYSICS Course Structure Unit Topics Marks I Physical World and Measurement 1 Physical World 2 Units and Measurements II Kinematics 3 Motion in a Straight Line 23 4 Motion in a Plane III Laws of Motion

More information

Dynamics. Dynamics of mechanical particle and particle systems (many body systems)

Dynamics. Dynamics of mechanical particle and particle systems (many body systems) Dynamics Dynamics of mechanical particle and particle systems (many body systems) Newton`s first law: If no net force acts on a body, it will move on a straight line at constant velocity or will stay at

More information

1 2 Models, Theories, and Laws 1.5 Distinguish between models, theories, and laws 2.1 State the origin of significant figures in measurement

1 2 Models, Theories, and Laws 1.5 Distinguish between models, theories, and laws 2.1 State the origin of significant figures in measurement Textbook Correlation Textbook Correlation Physics 1115/2015 Chapter 1 Introduction, Measurement, Estimating 1.1 Describe thoughts of Aristotle vs. Galileo in describing motion 1 1 Nature of Science 1.2

More information

AP PHYSICS 1 BIG IDEAS AND LEARNING OBJECTIVES

AP PHYSICS 1 BIG IDEAS AND LEARNING OBJECTIVES AP PHYSICS 1 BIG IDEAS AND LEARNING OBJECTIVES KINEMATICS 3.A.1.1: The student is able to express the motion of an object using narrative, mathematical, and graphical representations. [SP 1.5, 2.1, 2.2]

More information

PHYS 1114, Lecture 33, April 10 Contents:

PHYS 1114, Lecture 33, April 10 Contents: PHYS 1114, Lecture 33, April 10 Contents: 1 This class is o cially cancelled, and has been replaced by the common exam Tuesday, April 11, 5:30 PM. A review and Q&A session is scheduled instead during class

More information

Measurement p. 1 What Is Physics? p. 2 Measuring Things p. 2 The International System of Units p. 2 Changing Units p. 3 Length p. 4 Time p. 5 Mass p.

Measurement p. 1 What Is Physics? p. 2 Measuring Things p. 2 The International System of Units p. 2 Changing Units p. 3 Length p. 4 Time p. 5 Mass p. Measurement p. 1 What Is Physics? p. 2 Measuring Things p. 2 The International System of Units p. 2 Changing Units p. 3 Length p. 4 Time p. 5 Mass p. 7 Review & Summary p. 8 Problems p. 8 Motion Along

More information

D.A.V. PUBLIC SCHOOL, UPPAL S SOUTHEND, SECTOR 49, GURUGRAM CLASS XI (PHYSICS) Academic plan for

D.A.V. PUBLIC SCHOOL, UPPAL S SOUTHEND, SECTOR 49, GURUGRAM CLASS XI (PHYSICS) Academic plan for D.A.V. PUBLIC SCHOOL, UPPAL S SOUTHEND, SECTOR 49, GURUGRAM CLASS XI (PHYSICS) Academic plan for 2017-2018 UNIT NAME OF UNIT WEIGHTAGE 1. 2. 3. Physical World and Measurement Kinemetics Laws of Motion

More information

AP Physics C Mechanics Objectives

AP Physics C Mechanics Objectives AP Physics C Mechanics Objectives I. KINEMATICS A. Motion in One Dimension 1. The relationships among position, velocity and acceleration a. Given a graph of position vs. time, identify or sketch a graph

More information

Chapter 14 Oscillations. Copyright 2009 Pearson Education, Inc.

Chapter 14 Oscillations. Copyright 2009 Pearson Education, Inc. Chapter 14 Oscillations Oscillations of a Spring Simple Harmonic Motion Energy in the Simple Harmonic Oscillator Simple Harmonic Motion Related to Uniform Circular Motion The Simple Pendulum The Physical

More information

Lecture 13 REVIEW. Physics 106 Spring What should we know? What should we know? Newton s Laws

Lecture 13 REVIEW. Physics 106 Spring What should we know? What should we know? Newton s Laws Lecture 13 REVIEW Physics 106 Spring 2006 http://web.njit.edu/~sirenko/ What should we know? Vectors addition, subtraction, scalar and vector multiplication Trigonometric functions sinθ, cos θ, tan θ,

More information

Chapter 12 Vibrations and Waves Simple Harmonic Motion page

Chapter 12 Vibrations and Waves Simple Harmonic Motion page Chapter 2 Vibrations and Waves 2- Simple Harmonic Motion page 438-45 Hooke s Law Periodic motion the object has a repeated motion that follows the same path, the object swings to and fro. Examples: a pendulum

More information

Chapter 14: Periodic motion

Chapter 14: Periodic motion Chapter 14: Periodic motion Describing oscillations Simple harmonic motion Energy of simple harmonic motion Applications of simple harmonic motion Simple pendulum & physical pendulum Damped oscillations

More information

Physics I. Unit 1 Methods in Science (Systems of Units) Competencies (Do) Students should be able to demonstrate scientific methods.

Physics I. Unit 1 Methods in Science (Systems of Units) Competencies (Do) Students should be able to demonstrate scientific methods. Physics I Unit 1 Methods in Science (Systems of Units) Estimated Time Frame Big Ideas for Units 10 Days Tools are needed for the study of Physics, such as measurement, conversions, significant figures,

More information

General Physics I. Lecture 12: Applications of Oscillatory Motion. Prof. WAN, Xin ( 万歆 )

General Physics I. Lecture 12: Applications of Oscillatory Motion. Prof. WAN, Xin ( 万歆 ) General Physics I Lecture 1: Applications of Oscillatory Motion Prof. WAN, Xin ( 万歆 ) inwan@zju.edu.cn http://zimp.zju.edu.cn/~inwan/ Outline The pendulum Comparing simple harmonic motion and uniform circular

More information

Chapter 12. Recall that when a spring is stretched a distance x, it will pull back with a force given by: F = -kx

Chapter 12. Recall that when a spring is stretched a distance x, it will pull back with a force given by: F = -kx Chapter 1 Lecture Notes Chapter 1 Oscillatory Motion Recall that when a spring is stretched a distance x, it will pull back with a force given by: F = -kx When the mass is released, the spring will pull

More information

Northwestern Connecticut Community College Course Syllabus

Northwestern Connecticut Community College Course Syllabus Northwestern Connecticut Community College Course Syllabus Course Title: Introductory Physics Course #: PHY 110 Course Description: 4 credits (3 class hours and 3 laboratory hours per week) Physics 110

More information

DIVIDED SYLLABUS ( ) - CLASS XI PHYSICS (CODE 042) COURSE STRUCTURE APRIL

DIVIDED SYLLABUS ( ) - CLASS XI PHYSICS (CODE 042) COURSE STRUCTURE APRIL DIVIDED SYLLABUS (2015-16 ) - CLASS XI PHYSICS (CODE 042) COURSE STRUCTURE APRIL Unit I: Physical World and Measurement Physics Need for measurement: Units of measurement; systems of units; SI units, fundamental

More information

Oscillations. Oscillations and Simple Harmonic Motion

Oscillations. Oscillations and Simple Harmonic Motion Oscillations AP Physics C Oscillations and Simple Harmonic Motion 1 Equilibrium and Oscillations A marble that is free to roll inside a spherical bowl has an equilibrium position at the bottom of the bowl

More information

Simple and Physical Pendulums Challenge Problem Solutions

Simple and Physical Pendulums Challenge Problem Solutions Simple and Physical Pendulums Challenge Problem Solutions Problem 1 Solutions: For this problem, the answers to parts a) through d) will rely on an analysis of the pendulum motion. There are two conventional

More information

Class XI Physics Syllabus One Paper Three Hours Max Marks: 70

Class XI Physics Syllabus One Paper Three Hours Max Marks: 70 Class XI Physics Syllabus 2013 One Paper Three Hours Max Marks: 70 Class XI Weightage Unit I Physical World & Measurement 03 Unit II Kinematics 10 Unit III Laws of Motion 10 Unit IV Work, Energy & Power

More information

UNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics

UNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics UNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics Physics 111.6 MIDTERM TEST #2 November 15, 2001 Time: 90 minutes NAME: STUDENT NO.: (Last) Please Print (Given) LECTURE SECTION

More information

Q1. Which of the following is the correct combination of dimensions for energy?

Q1. Which of the following is the correct combination of dimensions for energy? Tuesday, June 15, 2010 Page: 1 Q1. Which of the following is the correct combination of dimensions for energy? A) ML 2 /T 2 B) LT 2 /M C) MLT D) M 2 L 3 T E) ML/T 2 Q2. Two cars are initially 150 kilometers

More information

Physics General Physics. Lecture 24 Oscillating Systems. Fall 2016 Semester Prof. Matthew Jones

Physics General Physics. Lecture 24 Oscillating Systems. Fall 2016 Semester Prof. Matthew Jones Physics 22000 General Physics Lecture 24 Oscillating Systems Fall 2016 Semester Prof. Matthew Jones 1 2 Oscillating Motion We have studied linear motion objects moving in straight lines at either constant

More information

Physics C: Mechanics

Physics C: Mechanics Physics C: Mechanics 2013 2014 PISCATAWAY TOWNSHIP SCHOOLS COURSE SYLLABUS Mr. Rohan Gokhale rgokhale@pway.org www.piscatawayschools.org/phs Brief Description of Course The AP Physics course is a full

More information

TOPIC E: OSCILLATIONS EXAMPLES SPRING Q1. Find general solutions for the following differential equations:

TOPIC E: OSCILLATIONS EXAMPLES SPRING Q1. Find general solutions for the following differential equations: TOPIC E: OSCILLATIONS EXAMPLES SPRING 2019 Mathematics of Oscillating Systems Q1. Find general solutions for the following differential equations: Undamped Free Vibration Q2. A 4 g mass is suspended by

More information

Kinematics (special case) Dynamics gravity, tension, elastic, normal, friction. Energy: kinetic, potential gravity, spring + work (friction)

Kinematics (special case) Dynamics gravity, tension, elastic, normal, friction. Energy: kinetic, potential gravity, spring + work (friction) Kinematics (special case) a = constant 1D motion 2D projectile Uniform circular Dynamics gravity, tension, elastic, normal, friction Motion with a = constant Newton s Laws F = m a F 12 = F 21 Time & Position

More information

CHAPTER 1: PHYSICAL QUANTITIES AMD MEASUREMENT

CHAPTER 1: PHYSICAL QUANTITIES AMD MEASUREMENT CHAPTER 1: PHYSICAL UANTITIES AMD MEASUREMENT 11 Physical uantities and Units a) State basic quantities and their respective SI units: length (m), time (s), mass (kg), electrical current (A), temperature

More information

= o + t = ot + ½ t 2 = o + 2

= o + t = ot + ½ t 2 = o + 2 Chapters 8-9 Rotational Kinematics and Dynamics Rotational motion Rotational motion refers to the motion of an object or system that spins about an axis. The axis of rotation is the line about which the

More information

Today s lecture. WEST VIRGINIA UNIVERSITY Physics

Today s lecture. WEST VIRGINIA UNIVERSITY Physics Today s lecture Review of chapters 1-14 Note: I m taking for granted that you ll still know SI/cgs units, order-of-magnitude estimates, etc., so I m focusing on problems. Velocity and acceleration (1d)

More information

Raymond A. Serway Chris Vuille. Chapter Thirteen. Vibrations and Waves

Raymond A. Serway Chris Vuille. Chapter Thirteen. Vibrations and Waves Raymond A. Serway Chris Vuille Chapter Thirteen Vibrations and Waves Periodic Motion and Waves Periodic motion is one of the most important kinds of physical behavior Will include a closer look at Hooke

More information

Miami-Dade Community College PHY 2053 College Physics I

Miami-Dade Community College PHY 2053 College Physics I Miami-Dade Community College PHY 2053 College Physics I PHY 2053 3 credits Course Description PHY 2053, College physics I, is the first semester of a two semester physics-without-calculus sequence. This

More information

11. (7 points: Choose up to 3 answers) What is the tension,!, in the string? a.! = 0.10 N b.! = 0.21 N c.! = 0.29 N d.! = N e.! = 0.

11. (7 points: Choose up to 3 answers) What is the tension,!, in the string? a.! = 0.10 N b.! = 0.21 N c.! = 0.29 N d.! = N e.! = 0. A harmonic wave propagates horizontally along a taut string of length! = 8.0 m and mass! = 0.23 kg. The vertical displacement of the string along its length is given by!!,! = 0.1!m cos 1.5!!! +!0.8!!,

More information

4. Find the average velocities and average accelerations of a particle moving in 1-D given its position at various times.

4. Find the average velocities and average accelerations of a particle moving in 1-D given its position at various times. PHYSICS 201: TEST 1 STUDY SHEET 1. Convert a quantity from one set of units to another set of units. 2. Convert a 2-D vector from rectangular form (components) to polar form (magnitude and angle), or from

More information

Chapter 13 Lecture. Essential University Physics Richard Wolfson 2 nd Edition. Oscillatory Motion Pearson Education, Inc.

Chapter 13 Lecture. Essential University Physics Richard Wolfson 2 nd Edition. Oscillatory Motion Pearson Education, Inc. Chapter 13 Lecture Essential University Physics Richard Wolfson nd Edition Oscillatory Motion Slide 13-1 In this lecture you ll learn To describe the conditions under which oscillatory motion occurs To

More information

AP Physics Free Response Practice Oscillations

AP Physics Free Response Practice Oscillations AP Physics Free Response Practice Oscillations 1975B7. A pendulum consists of a small object of mass m fastened to the end of an inextensible cord of length L. Initially, the pendulum is drawn aside through

More information

PHYSICS PAPER 1. (THEORY) (Three hours)

PHYSICS PAPER 1. (THEORY) (Three hours) PHYSICS PAPER 1 (THEY) (Three hours) (Candidates are allowed additional 15 minutes for only reading the paper. They must NOT start writing during this time.) All questions are compulsory. Question number

More information

Applied Mathematics B Study Guide

Applied Mathematics B Study Guide Science, Engineering and Technology Portfolio School of Life and Physical Sciences Foundation Studies (Applied Science/Engineering) Applied Mathematics B Study Guide Topics Kinematics Dynamics Work, Energy

More information

Fundamentals Physics. Chapter 15 Oscillations

Fundamentals Physics. Chapter 15 Oscillations Fundamentals Physics Tenth Edition Halliday Chapter 15 Oscillations 15-1 Simple Harmonic Motion (1 of 20) Learning Objectives 15.01 Distinguish simple harmonic motion from other types of periodic motion.

More information

AP Physics 1. Course Overview

AP Physics 1. Course Overview Radnor High School Course Syllabus AP Physics 1 Credits: Grade Weighting: Yes Prerequisites: Co-requisites: Length: Format: 1.0 Credit, weighted Honors chemistry or Advanced Chemistry Honors Pre-calculus

More information

HS AP Physics 1 Science

HS AP Physics 1 Science Scope And Sequence Timeframe Unit Instructional Topics 5 Day(s) 20 Day(s) 5 Day(s) Kinematics Course AP Physics 1 is an introductory first-year, algebra-based, college level course for the student interested

More information

Multiple choice questions [60 points]

Multiple choice questions [60 points] Multiple choice questions [60 points] Answer all of the following questions. Read each question carefully. Fill the correct bubble on your scantron sheet. Each correct answer is worth 4 points. Each question

More information

Upon successful completion of this course, students should be competent to perform the following tasks:

Upon successful completion of this course, students should be competent to perform the following tasks: Course Information Course Prefix/Number: PHY 221 Course Title: University Physics Lecture Hours/Week: 3.0 Lab Hours/Week: 3.0 Credit Hours/Semester: 4.0 VA Statement/Distance Learning Attendance Textbook

More information

Northwestern CT Community College Course Syllabus. Course Title: CALCULUS-BASED PHYSICS I with Lab Course #: PHY 221

Northwestern CT Community College Course Syllabus. Course Title: CALCULUS-BASED PHYSICS I with Lab Course #: PHY 221 Northwestern CT Community College Course Syllabus Course Title: CALCULUS-BASED PHYSICS I with Lab Course #: PHY 221 Course Description: 4 credits (3 class hours and 3 laboratory hours per week) Physics

More information

Chapter 6. Circular Motion and Other Applications of Newton s Laws

Chapter 6. Circular Motion and Other Applications of Newton s Laws Chapter 6 Circular Motion and Other Applications of Newton s Laws Circular Motion Two analysis models using Newton s Laws of Motion have been developed. The models have been applied to linear motion. Newton

More information

STATICS Chapter 1 Introductory Concepts

STATICS Chapter 1 Introductory Concepts Contents Preface to Adapted Edition... (v) Preface to Third Edition... (vii) List of Symbols and Abbreviations... (xi) PART - I STATICS Chapter 1 Introductory Concepts 1-1 Scope of Mechanics... 1 1-2 Preview

More information

CHAPTER 6 WORK AND ENERGY

CHAPTER 6 WORK AND ENERGY CHAPTER 6 WORK AND ENERGY ANSWERS TO FOCUS ON CONCEPTS QUESTIONS (e) When the force is perpendicular to the displacement, as in C, there is no work When the force points in the same direction as the displacement,

More information

The maximum kinetic energy is directly proportional to the frequency. The time for one oscillation is directly proportional to the frequency.

The maximum kinetic energy is directly proportional to the frequency. The time for one oscillation is directly proportional to the frequency. Q1.For a body performing simple harmonic motion, which one of the following statements is correct? The maximum kinetic energy is directly proportional to the frequency. The time for one oscillation is

More information

Contents. Contents. Contents

Contents. Contents. Contents Physics 121 for Majors Class 18 Linear Harmonic Last Class We saw how motion in a circle is mathematically similar to motion in a straight line. We learned that there is a centripetal acceleration (and

More information

Physics 1. and graphical representations. Express the motion of an object using narrative, mathematical,

Physics 1. and graphical representations. Express the motion of an object using narrative, mathematical, Theme Strand Topics Physics The Marriage of Motion and Energy Kinematics Motion in one direction Motion in two directions Content Statement Learning Targets: I can describe the similarities and differences

More information

Use the following to answer question 1:

Use the following to answer question 1: Use the following to answer question 1: On an amusement park ride, passengers are seated in a horizontal circle of radius 7.5 m. The seats begin from rest and are uniformly accelerated for 21 seconds to

More information

EXPERIENCE COLLEGE BEFORE COLLEGE

EXPERIENCE COLLEGE BEFORE COLLEGE Mechanics, Heat, and Sound (PHY302K) College Unit Week Dates Big Ideas Subject Learning Outcomes Assessments Apply algebra, vectors, and trigonometry in context. Employ units in problems. Course Mathematics

More information

Circular Motion. Unit 7

Circular Motion. Unit 7 Circular Motion Unit 7 Do Now You drive a car that follows a circular path with the radius r = 100 m. Find the distance travelled if you made one complete circle. C 2 R 2(3.14)(100) 6.28(100) 628m Uniform

More information

Page kg kg kg kg (Total 1 mark) Q4. The diagram shows two positions, X and Y, o the Ea th s su fa e.

Page kg kg kg kg (Total 1 mark) Q4. The diagram shows two positions, X and Y, o the Ea th s su fa e. Q1. body moves with simple harmonic motion of amplitude and frequency What is the magnitude of the acceleration when the body is at maximum displacement? zero 4π 2 b 2 b 2 PhysicsndMathsTutor.com Page

More information

Name (please print): UW ID# score last first

Name (please print): UW ID# score last first Name (please print): UW ID# score last first Question I. (20 pts) Projectile motion A ball of mass 0.3 kg is thrown at an angle of 30 o above the horizontal. Ignore air resistance. It hits the ground 100

More information

Simple Harmonic Motion

Simple Harmonic Motion Chapter 9 Simple Harmonic Motion In This Chapter: Restoring Force Elastic Potential Energy Simple Harmonic Motion Period and Frequency Displacement, Velocity, and Acceleration Pendulums Restoring Force

More information

4) Vector = and vector = What is vector = +? A) B) C) D) E)

4) Vector = and vector = What is vector = +? A) B) C) D) E) 1) Suppose that an object is moving with constant nonzero acceleration. Which of the following is an accurate statement concerning its motion? A) In equal times its speed changes by equal amounts. B) In

More information

Force, Energy & Periodic Motion. Preparation for unit test

Force, Energy & Periodic Motion. Preparation for unit test Force, Energy & Periodic Motion Preparation for unit test Summary of assessment standards (Unit assessment standard only) In the unit test you can expect to be asked at least one question on each sub-skill.

More information

APPLIED MATHEMATICS AM 02

APPLIED MATHEMATICS AM 02 AM SYLLABUS (2013) APPLIED MATHEMATICS AM 02 SYLLABUS Applied Mathematics AM 02 Syllabus (Available in September) Paper I (3 hrs)+paper II (3 hrs) Applied Mathematics (Mechanics) Aims A course based on

More information

Chapter 14 Oscillations. Copyright 2009 Pearson Education, Inc.

Chapter 14 Oscillations. Copyright 2009 Pearson Education, Inc. Chapter 14 Oscillations 14-1 Oscillations of a Spring If an object vibrates or oscillates back and forth over the same path, each cycle taking the same amount of time, the motion is called periodic. The

More information

Mechanics. Time (s) Distance (m) Velocity (m/s) Acceleration (m/s 2 ) = + displacement/time.

Mechanics. Time (s) Distance (m) Velocity (m/s) Acceleration (m/s 2 ) = + displacement/time. Mechanics Symbols: Equations: Kinematics The Study of Motion s = distance or displacement v = final speed or velocity u = initial speed or velocity a = average acceleration s u+ v v v u v= also v= a =

More information

AP Physics C 1984 Multiple Choice Questions Mechanics

AP Physics C 1984 Multiple Choice Questions Mechanics AP Physics C 984 ultiple Choice Questions echanics The materials included in these files are intended for use by AP teachers for course and exam preparation in the classroom; permission for any other use

More information

Chapter 11 Vibrations and Waves

Chapter 11 Vibrations and Waves Chapter 11 Vibrations and Waves If an object vibrates or oscillates back and forth over the same path, each cycle taking the same amount of time, the motion is called periodic. The mass and spring system

More information

1 LS 1: THE STUDENT WILL UTILIZE SKILLS OF OBSERVATION, DATA COLLECTION, AND DATA ANALYSIS TO SOLVE PROBLEMS

1 LS 1: THE STUDENT WILL UTILIZE SKILLS OF OBSERVATION, DATA COLLECTION, AND DATA ANALYSIS TO SOLVE PROBLEMS PHYSICS-Semester 1 LS 1: THE STUDENT WILL UTILIZE SKILLS OF OBSERVATION, DATA COLLECTION, AND DATA ANALYSIS TO SOLVE PROBLEMS. 1.1 The student will pass a lab safety test following district guidelines.

More information

What is a Force? Free-Body diagrams. Contact vs. At-a-Distance 11/28/2016. Forces and Newton s Laws of Motion

What is a Force? Free-Body diagrams. Contact vs. At-a-Distance 11/28/2016. Forces and Newton s Laws of Motion Forces and Newton s Laws of Motion What is a Force? In generic terms: a force is a push or a pull exerted on an object that could cause one of the following to occur: A linear acceleration of the object

More information

g E. An object whose weight on 6 Earth is 5.0 N is dropped from rest above the Moon s surface. What is its momentum after falling for 3.0s?

g E. An object whose weight on 6 Earth is 5.0 N is dropped from rest above the Moon s surface. What is its momentum after falling for 3.0s? PhysicsndMathsTutor.com 1 1. Take the acceleration due to gravity, g E, as 10 m s on the surface of the Earth. The acceleration due to gravity on the surface of the Moon is g E. n object whose weight on

More information

BRAZOSPORT COLLEGE LAKE JACKSON, TEXAS SYLLABUS PHYS MECHANICS AND HEAT

BRAZOSPORT COLLEGE LAKE JACKSON, TEXAS SYLLABUS PHYS MECHANICS AND HEAT BRAZOSPORT COLLEGE LAKE JACKSON, TEXAS SYLLABUS PHYS 2325 - MECHANICS AND HEAT CATALOG DESCRIPTION: PHYS 2325 Mechanics and Heat. CIP 4008015403 A calculus-based approach to the principles of mechanics

More information

SYLLABUS FORM WESTCHESTER COMMUNITY COLLEGE Valhalla, NY lo595. l. Course #: PHYSC NAME OF ORIGINATOR /REVISOR: ALENA O CONNOR

SYLLABUS FORM WESTCHESTER COMMUNITY COLLEGE Valhalla, NY lo595. l. Course #: PHYSC NAME OF ORIGINATOR /REVISOR: ALENA O CONNOR SYLLABUS FORM WESTCHESTER COMMUNITY COLLEGE Valhalla, NY lo595 l. Course #: PHYSC 121 2. NAME OF ORIGINATOR /REVISOR: ALENA O CONNOR NAME OF COURSE ENGINEERING PHYSICS 1 WITH LAB 3. CURRENT DATE: SUMMER

More information

PHYSICS 221, FALL 2011 EXAM #2 SOLUTIONS WEDNESDAY, NOVEMBER 2, 2011

PHYSICS 221, FALL 2011 EXAM #2 SOLUTIONS WEDNESDAY, NOVEMBER 2, 2011 PHYSICS 1, FALL 011 EXAM SOLUTIONS WEDNESDAY, NOVEMBER, 011 Note: The unit vectors in the +x, +y, and +z directions of a right-handed Cartesian coordinate system are î, ĵ, and ˆk, respectively. In this

More information

Simple Harmonic Motion Practice Problems PSI AP Physics B

Simple Harmonic Motion Practice Problems PSI AP Physics B Simple Harmonic Motion Practice Problems PSI AP Physics B Name Multiple Choice 1. A block with a mass M is attached to a spring with a spring constant k. The block undergoes SHM. Where is the block located

More information

Grade Level: 10,11,12. Course Overview:

Grade Level: 10,11,12. Course Overview: Course:Advanced Placement Physics 1 Content Area: Science Grade Level: 10,11,12 Course Overview: AP Physics 1: Algebra-based is part one of a two-year sequence equivalent to the first and second semesters

More information

Mechanics. In the Science Program, Mechanics contributes to the following program goals described in the Exit Profile:

Mechanics. In the Science Program, Mechanics contributes to the following program goals described in the Exit Profile: Mechanics Objectives: 00UR Discipline: Physics Ponderation: 3-2-3 Course Code: 203-NYA-05 Prerequisite: Sec. V Physics 534, Mathematics 536 (or equivalent) Course Credit: 2 2/3 Corequisite: 00UP (Calculus

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A 4.8-kg block attached to a spring executes simple harmonic motion on a frictionless

More information

Wiley Plus. Final Assignment (5) Is Due Today: Before 11 pm!

Wiley Plus. Final Assignment (5) Is Due Today: Before 11 pm! Wiley Plus Final Assignment (5) Is Due Today: Before 11 pm! Final Exam Review December 9, 009 3 What about vector subtraction? Suppose you are given the vector relation A B C RULE: The resultant vector

More information

Upon successful completion of this course, students should be competent to perform the following tasks:

Upon successful completion of this course, students should be competent to perform the following tasks: COURSE PREFIX/NO.: PHY 221 COURSE TITLE: UNIVERSITY PHYSICS LEC HRS/WK: 3.0 LAB HRS/WK: 3.0 CREDIT HRS/SEMESTER: 4.0 Distance Learning Attendance/VA Statement Textbook Information Student Code and Grievance

More information

本教材僅供教學使用, 勿做其他用途, 以維護智慧財產權

本教材僅供教學使用, 勿做其他用途, 以維護智慧財產權 本教材內容主要取自課本 Physics for Scientists and Engineers with Modern Physics 7th Edition. Jewett & Serway. 注意 本教材僅供教學使用, 勿做其他用途, 以維護智慧財產權 教材網址 : https://sites.google.com/site/ndhugp1 1 Chapter 15 Oscillatory Motion

More information

Tentative Physics 1 Standards

Tentative Physics 1 Standards Tentative Physics 1 Standards Mathematics MC1. Arithmetic: I can add, subtract, multiply, and divide real numbers, take their natural and common logarithms, and raise them to real powers and take real

More information

Chapter 14 Oscillations

Chapter 14 Oscillations Chapter 14 Oscillations If an object vibrates or oscillates back and forth over the same path, each cycle taking the same amount of time, the motion is called periodic. The mass and spring system is a

More information

Ch. 2 The Laws of Motion

Ch. 2 The Laws of Motion Ch. 2 The Laws of Motion Lesson 1 Gravity and Friction Force - A push or pull we pull on a locker handle push a soccer ball or on the computer keys Contact force - push or pull on one object by another

More information

Physics 8, Fall 2011, equation sheet work in progress

Physics 8, Fall 2011, equation sheet work in progress 1 year 3.16 10 7 s Physics 8, Fall 2011, equation sheet work in progress circumference of earth 40 10 6 m speed of light c = 2.9979 10 8 m/s mass of proton or neutron 1 amu ( atomic mass unit ) = 1 1.66

More information

Physics Curriculum Guide for High School SDP Science Teachers

Physics Curriculum Guide for High School SDP Science Teachers Physics Curriculum Guide for High School SDP Science Teachers Please note: Pennsylvania & Next Generation Science Standards as well as Instructional Resources are found on the SDP Curriculum Engine Prepared

More information

1. A force acts on a particle and displaces it through. The value of x for zero work is 1) 0.5 2) 2 4) 6

1. A force acts on a particle and displaces it through. The value of x for zero work is 1) 0.5 2) 2 4) 6 1. A force acts on a particle and displaces it through. The value of x for zero work is 1) 0.5 2) 2 3) +2 4) 6 2. Two bodies with K.E. in the ratio 4 : 1 are moving with same linear momenta. The ratio

More information

PRACTICE QUESTION PAPER WITH SOLUTION CLASS XI PHYSICS

PRACTICE QUESTION PAPER WITH SOLUTION CLASS XI PHYSICS PRACTICE QUESTION PAPER WITH SOLUTION CLASS XI PHYSICS. A given quantity has both magnitude and direction. Is it necessarily a vector? Justify your answer.. What is the rotational analogue of the force?.

More information

Oscillations. PHYS 101 Previous Exam Problems CHAPTER. Simple harmonic motion Mass-spring system Energy in SHM Pendulums

Oscillations. PHYS 101 Previous Exam Problems CHAPTER. Simple harmonic motion Mass-spring system Energy in SHM Pendulums PHYS 101 Previous Exam Problems CHAPTER 15 Oscillations Simple harmonic motion Mass-spring system Energy in SHM Pendulums 1. The displacement of a particle oscillating along the x axis is given as a function

More information

Rotation. PHYS 101 Previous Exam Problems CHAPTER

Rotation. PHYS 101 Previous Exam Problems CHAPTER PHYS 101 Previous Exam Problems CHAPTER 10 Rotation Rotational kinematics Rotational inertia (moment of inertia) Kinetic energy Torque Newton s 2 nd law Work, power & energy conservation 1. Assume that

More information

East Penn School District Secondary Curriculum

East Penn School District Secondary Curriculum East Penn School District Secondary Curriculum A Planned Course Statement for Advanced Placement Physics : Algebra Based Course # Grades Department 465, Science Length of Period (mins): 40 mins Total Clock

More information

Chapter 15 Periodic Motion

Chapter 15 Periodic Motion Chapter 15 Periodic Motion Slide 1-1 Chapter 15 Periodic Motion Concepts Slide 1-2 Section 15.1: Periodic motion and energy Section Goals You will learn to Define the concepts of periodic motion, vibration,

More information

Pine Hill Public Schools Curriculum

Pine Hill Public Schools Curriculum Content Area: Pine Hill Public Schools Curriculum Science Course Title/ Grade Level: Honors Physics / Gr. 11 & 12 Unit 1: Unit 2: Unit 3: Unit 4: Unit 4: Introduction, Measurement, Estimating Duration:

More information

Physics Fall Mechanics, Thermodynamics, Waves, Fluids. Lecture 20: Rotational Motion. Slide 20-1

Physics Fall Mechanics, Thermodynamics, Waves, Fluids. Lecture 20: Rotational Motion. Slide 20-1 Physics 1501 Fall 2008 Mechanics, Thermodynamics, Waves, Fluids Lecture 20: Rotational Motion Slide 20-1 Recap: center of mass, linear momentum A composite system behaves as though its mass is concentrated

More information

Study Guide Solutions

Study Guide Solutions Study Guide Solutions Table of Contents Chapter 1 A Physics Toolkit... 3 Vocabulary Review... 3 Section 1.1: Mathematics and Physics... 3 Section 1.2: Measurement... 3 Section 1.3: Graphing Data... 4 Chapter

More information

Dr. Galeazzi PHY205 Final Exam December 12, I.D. number:

Dr. Galeazzi PHY205 Final Exam December 12, I.D. number: Signature: I.D. number: Name: 1 You must do the first two problems which consists of five multiple choice questions each. Then you must do four of the five long problems numbered 3-7. Clearly cross out

More information

AP Pd 3 Rotational Dynamics.notebook. May 08, 2014

AP Pd 3 Rotational Dynamics.notebook. May 08, 2014 1 Rotational Dynamics Why do objects spin? Objects can travel in different ways: Translation all points on the body travel in parallel paths Rotation all points on the body move around a fixed point An

More information

!T = 2# T = 2! " The velocity and acceleration of the object are found by taking the first and second derivative of the position:

!T = 2# T = 2!  The velocity and acceleration of the object are found by taking the first and second derivative of the position: A pendulum swinging back and forth or a mass oscillating on a spring are two examples of (SHM.) SHM occurs any time the position of an object as a function of time can be represented by a sine wave. We

More information