Course Review Physics 2210 Fall Semester 2014
Announcements Unit 21 Simple and Physical Pendula (Nov 24th) HW Due 11/25th as usual No new material Wednesday November 26th. In-class discussion of problems for last midterm, final exam. Unit 22 Harmonic Waves Monday Dec 1st HW due Sunday December 7th at midnight Exam 3 (covering thru unit 19) December 3rd Unit 23 Standing Waves and Superposition, Monday December 8th HW Due Tuesday 9th Course Review December 10th Final Exam (December 16th)
Final Exam Details When: Tuesday December 16th, 3:30-5:30 PM. Where: JFB 101... here! Allowed materials: Formula sheet (provided) Blue/black pen. Indicate errors by strikethrough Hand held calculator. Not the one on your cellphone. Straightedge to make neat diagrams
More Details Coverage: All Units Types of problems: Short answer and workout. Study recommendations: Review homework Review prior exams Solve problems, problems, problems...
Formula Sheet: Note that this is posted to course web page under supplemental reading
Final Exam Topics Section 1: Linear Dynamics 1-D Kinematics Vectors and 2-D Kinematics Relative and Circular Motion Newton's Laws Forces and Free-Body Diagrams Friction
1D Kinematics Basis for much of what follows Unlikely there'll be a pure 1D kinematics workout But...
1D Kinematics Basis for much of what follows Unlikely there'll be a pure 1D kinematics workout Know graphical interpretation!
Vectors and 2D Kinematics Recall rules for adding and subtracting vectors Graphical techniques Arithmetic with components
2D Kinematics: Projectile Motion Independent horizontal and vertical motion Horizontal: constant velocity Vertical: constant acceleration g
Relative Motion vab = vac + vcb
Newton's Laws 1) An object subject to no net external force is at rest or moving at a constant velocity when viewed from an inertial reference frame. 2) a = Fnet/m 3) For every action there is an equal and opposite reaction FAB = -FBA
Forces and Free-Body Diagrams FBD: Tool for generating equations for dynamic systems Each object in the system is drawn isolated from all but the forces acting on it. b) what is the acceleration (magnitude and direction) of m2? c) what is the amount by which the spring is stretched from equilibrium?
Final Exam Topics Section 2: Conservation Laws Work and Kinetic Energy Conservative forces and Potential Energy Center of Mass Conservation of Momentum Elastic Collisions Collisions, Impulse and Reference Frames
Work-Kinetic Energy Theorem The net work done on a body is equal to the change in kinetic energy of the body Formal definition of work ( Force times distance generalized) Formal definition of kinetic energy
Work and Kinetic Energy
Conservative Forces, Potential Energy
Work-Energy Theorem b) If the force f is such that the block will move with constant speed v = 0.1 m/s down the ramp, calculate the work done by the force F if the block travels the length of the ramp. c) Suppose that, while traveling at v = 0.1 m/s down the ramp, at d = 3 meters from the end of the ramp the rope breaks. Use the work-kinetic energy theorem to calculate the speed of the crate when it reaches the bottom of the ramp.
Generalize mechanical energy conservation to conservative systems including springs: Spring P.E. K.E. Gravitational P.E.
Circular Motion & Work-Energy Thm
Final Exam Topics Section 3: Rotational Dynamics Rotational Kinematics and Moment of Inertia Parallel Axis Theorem and Torque Rotational Dynamics Rotational Statics Angular Momentum Angular Momentum Vector and Precession
You will be given I for basic shapes.
Spring PE I = mr 2 i i = moment of inertia Translational KE Gravitational PE Rotational KE
Parallel Axis Theorem Smallest when D 0 Mechanics Lecture 15, Slide 25
Similarity to 1D motion Mechanics Lecture 15, Slide 26
b) Calculate the centripetal acceleration of point p, 25.0 seconds after the torque starts being applied. c) Calculate the magnitude of the applied torque, in N*m.
Rotational Statics Procedure: Balance Forces Balance Torques Solve equations
Final Exam Topics Section 4: Applications Simple Harmonic Motion Simple and Physical Pendula Harmonic Waves and the Wave Equation Waves and Superposition
Simple Pendulum/Harmonic Motion gt Len hl The simple pendulum shown consisting of a massless string of length L = 1.0 m and a bob of mass 0.1 kg - is given an initial velocity v0 = 3.0 m/s to the right, at an initial displacement 0 = 0. Find: The position of the pendulum at t = 8 seconds. The tension in the string at t = 8 seconds. Mass m
Waves on a String A steel guitar string of length L = 1.2 meters is stretched between two fixed points. The speed of a wave on the string is 550.0 meters/second. What are the 1st, 2nd, and 3rd longest wavelengths for standing waves on this string What is the fundamental (lowest) frequency of vibration of the string? If the tension on the string is doubled, what is the fundamental frequency? If the string were replaced with a string of the same material but 3 times the diameter, and held at the same tension, what is the fundamental frequency?