# Jamie White Partner: Victor Yu Section 5 November 19, 2014 Modeling the Relationship between Bungee Cord Length and Displacement

Save this PDF as:

Size: px
Start display at page:

Download "Jamie White Partner: Victor Yu Section 5 November 19, 2014 Modeling the Relationship between Bungee Cord Length and Displacement"

## Transcription

1 Jamie White Partner: Victor Yu Section 5 November 19, 2014 Modeling the Relationship between Bungee Cord Length and Displacement 1. Introduction This experiment is the second in a pair of experiments leading up to the Bungee Challenge, which involves dropping an egg attached to a bungee cord in the Great Hall. The goal is to get the egg as close to the ground as possible without breaking the egg and to have the egg experience the greatest acceleration below 3g. The purpose of this experiment is to determine the relationship between the length and the dynamic displacement of a bungee cord using different cord lengths and masses. This relationship will be based on the ideal spring model, Hooke s Law, which states F = -kx (1) where F is the restoring force of the spring, x is the displacement from the equilibrium point, and k is the spring constant. The goal of this experiment is to determine the relationship between k and the length of the bungee cord L, altering Hooke s Law to apply it to the bungee cord, which is not an ideal spring. 2. Methods The experiment involved measuring the displacement of a bungee cord when a hanging mass attached to the end of the cord was dropped from the top of the bar to which the cord was attached. The displacement of the cord was measured for seven different weights, and five lengths of the bungee cord were tested. Figure 1: Experimental Set-up. The pre-experimental set-up is shown on the left, along with the set-up during the displacement measurement on the right.

2 White 2 The experiment was set up on a table in the lab room, using a bar attached to the table by a clamp. The tape measure was attached to the top of the bar using tape, and it was also taped to the floor to prevent it from moving. A loop was tied at the bottom of the bungee cord, and a separate loop was made higher up the cord and tied around one of the washers on the bar. This created a bungee cord with length L from the top of the bar to the bottom of the loop on the end, as shown in the diagram on the left in Figure 1. The excess cord was secured behind the other washers in order to prevent interference. The set-up also included a 50g hanging mass and additional masses ranging from 10g to 100g. An ipad was used capture the video of the drop using the CoachMyVideo app. Once the experiment was set up, we began to measure the displacement of the cord. Starting with an un-stretched cord length of 0.13m, we placed a 100g total hanging mass on the bottom loop of the cord. One partner lifted the hanging mass to the point where the top of the hook of the hanging mass was level with the top of the bar. The partner dropped the mass while the second partner watched to see how far it dropped. Once the approximate maximum displacement point was determined, the second partner prepared to record the drop with the ipad in the approximate location of the maximum displacement point, making sure to include the measuring tape in the frame. The mass was dropped again, with the second partner recording the drop on the ipad. We played the video back to find the point where the hanging mass changed direction, and we recorded the distance reached by the bottom of the hanging mass. This process was repeated for total hanging masses of 120g, 140g, 150g, 160g, 170g, and 200g. Once the displacement was recorded for each mass, we repeated the steps for lengths of 0.153m, 0.217m, 0.234m, and 0.267m. 3. Results The results of the experiment indicate there is a linear relationship between the force F and the displacement x for each length of the cord. The slope of this relationship, k, varied for each length L, but there was also an inverse relationship between k and L. Figure 2: Bungee Cord Displacement. The displacement x measured using various weights with different cord lengths. Mass m Force F Displacement x (kg, ± 0.01kg) (N, ± 0.01N) (m, ± 0.01m) L = 0.130m L = 0.153m L = 0.217m L = 0.234m L = 0.267m Figure 2 shows each hanging mass m in kg, the force F of the weight of each mass (m x 9.81 m/s 2 ), and the displacement x at each of the five cord lengths L. There is a clear trend in the data, showing not only an increase in x as m increases for each constant L, but also an increase in x as L increases for each constant m.

3 White 3 Figure 3: Force vs. Displacement. The slope of each cord length s force versus displacement line is the k- value for that length. Figure 3 shows the relationship between the force F of the weight and the displacement x at each cord length L. There is a linear relationship for each length, the slope of which is the Hooke s Law k-value for that particular length. As the length of the cord increases, the slope of the force versus displacement line decreases, indicating an inverse relationship between k and L. Figure 4: k-value vs. Inverse Cord Length. The graph shows a linear relationship between k and 1/L.

4 White 4 Figure 4 shows the linearized relationship between k and 1/L, represented by the equation k = (1/L) The slope of the relationship is ± , including the standard error which was determined. The y-intercept of the line is ± This equation is used to find the spring constant equivalent for a certain length of string, and that spring constant is used in Equation 1 to determine the cord s displacement due to a certain force. The modified version of Hooke s Law can be given as F = [0.5801(1/L) ]*x. 4. Discussion The results of the experiment indicate the bungee cord follows a modified version of Hooke s Law, with the spring constant varying based on a linear relationship with the inverse of the cord s length. Equation 1 works for each length of the bungee cord, but the k-value is not constant for the different lengths, unlike the k-value for an ideal spring. The force versus displacement lines in Figure 3, which represent Equation 1 for the various lengths, all have y-intercepts. Theoretically, however, their y-intercepts should be 0 since Equation 1 does not have an intercept. Their intercepts are due to experimental uncertainty, of which there were several sources in the experiment. The first source of error was the method of measuring the displacement. While the ipad video was able to be viewed frame by frame, it was uncertain whether the frame stopped exactly at the maximum displacement point, meaning the measurements could have been slightly off. The loops in the bungee cord were another source of uncertainty because the cord was doubled at the loops, so the stretch property of the cord at those points wasn t the same as a rest of the cord. Another source of error was the change in the loops after dropping the hanging mass multiple times. Sometimes, the force of the weight pulling on the top loop tightened it, increasing the un-stretched length of the cord and therefore affecting the measured displacement. Future considerations for repeating this experiment could include dropping a weight several times before measuring the initial un-stretched length of the cord, allowing any tightening of the loops to occur before the cord is measured. Due to time constraints, only one displacement measurement was able to be made for each weight, so another change for future experimentation could be to do multiple trials for each weight, giving an average displacement rather than relying on just one measurement. Another consideration to be made is the way in which the displacement was measured. For this experiment, the maximum displacement was measured at the bottom of the hanging mass, but since the displacement should be the change in length of the cord, the experiment s displacement measurements are actually greater than they should be. This means the equation modeling the relationship between k and 1/L is not correct. To fix this, the length of the hanging mass will need to be measured and subtracted from every displacement measurement. The results will then be recalculated using the new data, providing a new final equation for the relationship between k and 1/L. The next step for this experiment would be to recalculate the displacement excluding the additional length of the hanging mass and change the resulting equations accordingly. The equations could also be improved by using more weights and lengths of the cord, in addition to doing more trials for each weight and length combination.

5 White 5 5. Conclusion The purpose of the experiment was to model the dynamic behavior of a bungee cord using Hooke s Law as a theoretical basis. The results indicated Equation 1 was followed for each length L of the cord, but that there was a different k-value depending on L. We were able to conclude that there is a linear relationship between k and 1/L. Although the equation found in Figure 4 is incorrect for this bungee cord due to the displacement measurement method, the results support the hypothesis that the bungee cord can be modeled using a modified version of Hooke s Law. Recalculating the results will confirm the hypothesis and provide the correct equation for this bungee cord, which will allow us to determine which length of the bungee cord we need for the bungee challenge.

### Exploring the Effect of Bungee Length Manipulation on Acceleration Applied to Jumper

Ball 1 Stephen Ball Lab Partner: Gustavo Larramendi Bungee Report 6 November 2014 Exploring the Effect of Bungee Length Manipulation on Acceleration Applied to Jumper Introduction In order to experience

### Determining the Relationship Between Elastic String Length and Maximum Acceleration

Scott Philips and Jamie Guider and Mike Barry Monday 11/14/16 Determining the Relationship Between Elastic String Length and Maximum Acceleration ABSTRACT An experiment was carried out in order to assess

### Dynamic Relationship between Bungee Cord s Length and Tension Force

Saimon Islam, Yoko Koyoma. Professor Cumming Physics 113- Thursday morning November 15, 015. Dynamic Relationship between Bungee Cord s Length and Tension Force Introduction: The purpose of this experiment

### PHYS 1401General Physics I Hooke s Law, Simple Harmonic Motion

Name Date PHYS 1401General Physics I Hooke s Law, Simple Harmonic Motion Equipment Spring Mass Hanger(50g) Mass set Newton Set Meter Stick Ring Stand Rod Clamp 12 Rod Motion Sensor(15cm) Triple Beam Balance

### The Spring: Hooke s Law and Oscillations

Experiment 10 The Spring: Hooke s Law and Oscillations 10.1 Objectives Investigate how a spring behaves when it is stretched under the influence of an external force. To verify that this behavior is accurately

### Simple Harmonic Motion Investigating a Mass Oscillating on a Spring

17 Investigating a Mass Oscillating on a Spring A spring that is hanging vertically from a support with no mass at the end of the spring has a length L (called its rest length). When a mass is added to

### What happens if one pulls on the spring? The spring exerts a restoring force which is proportional to the distance it is stretched, F = - k x (1)

Physics 244 Harmonic Motion Introduction In this lab you will observe simple harmonic motion qualitatively in the laboratory and use a program run in Excel to find the mathematical description of the motion

### Work and Energy. This sum can be determined graphically as the area under the plot of force vs. distance. 1

Work and Energy Experiment 18 Work is a measure of energy transfer. In the absence of friction, when positive work is done on an object, there will be an increase in its kinetic or potential energy. In

### The Spring: Hooke s Law and Oscillations

Experiment 9 The Spring: Hooke s Law and Oscillations 9.1 Objectives Investigate how a spring behaves when it is stretched under the influence of an external force. To verify that this behavior is accurately

### Physical Properties of the Spring

Physical Properties of the Spring Please treat all springs gently. Introduction Force made by a spring is different. Most of the previous labs involve the gravitational force, which gets weaker as the

### PHYSICS LAB Experiment 3 Fall 2004 CENTRIPETAL FORCE & UNIFORM CIRCULAR MOTION

CENTRIPETAL FORCE & UNIFORM CIRCULAR MOTION In this experiment we will explore the relationship between force and acceleration for the case of uniform circular motion. An object which experiences a constant

### The Spring: Hooke s Law and Oscillations

Experiment 7 The Spring: Hooke s Law and Oscillations 7.1 Objectives Investigate how a spring behaves when it is stretched under the influence of an external force. To verify that this behavior is accurately

### The area under the velocity/time curve is equal to the total change in displacement

Mousetrap.car.notes.problems Topics that will be studied with mousetrap cars are: motion in one dimension under constant acceleration torque and its relationship to angular and linear acceleration angular

### ELASTIC STRINGS & SPRINGS

ELASTIC STRINGS & SPRINGS Question 1 (**) A particle of mass m is attached to one end of a light elastic string of natural length l and modulus of elasticity 25 8 mg. The other end of the string is attached

### Lab 14 - Simple Harmonic Motion and Oscillations on an Incline

Lab 14 - Simple Harmonic Motion and Oscillations on an Incline Name I. Introduction/Theory Partner s Name The purpose of this lab is to measure the period of oscillation of a spring and mass system on

### Testing Newton s 2nd Law

Testing Newton s 2nd Law Goal: To test Newton s 2nd law (ΣF = ma) and investigate the relationship between force, mass, and acceleration for objects. Lab Preparation To prepare for this lab you will want

### 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

### PHYS 2211L Final Examination Laboratory Simple Pendulum.

PHYS 11L Final Examination Laboratory Simple Pendulum Study Assignment: Lesson notes: This laboratory is the final examination for PHYS 11L. You should insure that you thoroughly understand the requirements

### Hooke s Law PHYS& 221

Hooke s Law PHYS& 221 Amezola, Miguel Tran, Hai D. Lai, Marco February 25, 2015 Date Performed: 17 February 2015 Instructor: Dr. David Phillips This work is licensed under a Creative Commons Attribution-ShareAlike

### LABORATORY VII MECHANICAL OSCILLATIONS

LABORATORY VII MECHANICAL OSCILLATIONS In most of the laboratory problems so far objects have been moving with constant acceleration because the total force acting on that object was constant. In this

### _CH01_p qxd 1/20/10 8:35 PM Page 1 PURPOSE

9460218_CH01_p001-010.qxd 1/20/10 8:35 PM Page 1 1 GRAPHING AND ANALYSIS PURPOSE The purpose of this lab is to investigate the relationship between displacement and force in springs and to practice acquiring

### Simple Harmonic Motion and Damping

Simple Harmonic Motion and Damping Marie Johnson Cabrices Chamblee Charter High School Background: Atomic Force Microscopy, or AFM, is used to characterize materials. It is used to measure local properties,

### Work and Energy. W F s)

Work and Energy Experiment 18 Work is a measure of energy transfer. In the absence of friction, when positive work is done on an object, there will be an increase in its kinetic or potential energy. In

### Work and Energy. computer masses (200 g and 500 g) If the force is constant and parallel to the object s path, work can be calculated using

Work and Energy OBJECTIVES Use a Motion Detector and a Force Sensor to measure the position and force on a hanging mass, a spring, and a dynamics cart. Determine the work done on an object using a force

### Lab M5: Hooke s Law and the Simple Harmonic Oscillator

M5.1 Lab M5: Hooke s Law and the Simple Harmonic Oscillator Most springs obey Hooke s Law, which states that the force exerted by the spring is proportional to the extension or compression of the spring

### Virbations and Waves

Virbations and Waves 1.1 Observe and find a pattern Try the following simple experiments and describe common patterns concerning the behavior of the block. (a) Fill in the table that follows. Experiment

### Lab 11 Simple Harmonic Motion A study of the kind of motion that results from the force applied to an object by a spring

Lab 11 Simple Harmonic Motion A study of the kind of motion that results from the force applied to an object by a spring Print Your Name Print Your Partners' Names Instructions April 20, 2016 Before lab,

### Materials: One of each of the following is needed: Cart Meter stick Pulley with clamp 70 cm string Motion Detector

Name Date Period Newton s Second Law: Net Force and Acceleration Procedures: Newton s second law describes a relationship between the net force acting on an object and the objects acceleration. In determining

### Torsion Wheel. Assembly Instructions. Parts

Torsion Wheel Assembly Instructions Your package should contain the following components: Torsion Wheel with string already attached, two () rubber hook holders, wire hook, and lab instructions. Assemble

### THE SCREW GAUGE. AIM: To learn to use a Screw Gauge and hence use it to find the dimensions of various regular materials given.

EXPERIMENT NO: DATE: / / 0 THE SCREW GAUGE AIM: To learn to use a Screw Gauge and hence use it to find the dimensions of various regular materials given. APPARUTUS: Given a Screw Gauge, cylindrical glass

### Investigative Science PENDULUM LAB Tuesday November Perry High School Mr. Pomerantz Page 1 of 5

Mr. Pomerantz Page 1 of 5 A swinging pendulum keeps a very regular beat. It is so regular, in fact, that for many years the pendulum was the heart of clocks used in astronomical measurements at the Greenwich

### Physics Spring 2006 Experiment 4. Centripetal Force. For a mass M in uniform circular motion with tangential speed v at radius R, the required

Centripetal Force I. Introduction. In this experiment you will study the centripetal force required for a mass in uniform circular motion. You will determine the centripetal forces required for different

### Goal: In this activity you will learn to use a spring scale to measure forces in Newtons.

Name: Block: Date: / / IP 6 Spring Lab Adapted from Minds on Physics: Inquiry Activity # &Concepts & Challenges:Physical Science Using a Spring, page Goal: In this activity you will learn to use a spring

### Investigating Springs (Simple Harmonic Motion)

Investigating Springs (Simple Harmonic Motion) INTRODUCTION The purpose of this lab is to study the well-known force exerted by a spring The force, as given by Hooke s Law, is a function of the amount

### EXPERIMENT 4: UNIFORM CIRCULAR MOTION

LAB SECTION: NAME: EXPERIMENT 4: UNIFORM CIRCULAR MOTION Introduction: In this lab, you will calculate the force on an object moving in a circle at approximately constant speed. To calculate the force

### Kinetic Friction. Experiment #13

Kinetic Friction Experiment #13 Joe Solution E01234567 Partner- Jane Answers PHY 221 Lab Instructor- Nathaniel Franklin Wednesday, 11 AM-1 PM Lecture Instructor Dr. Jacobs Abstract The purpose of this

### Forces and Newton s Second Law

Forces and Newton s Second Law Goals and Introduction Newton s laws of motion describe several possible effects of forces acting upon objects. In particular, Newton s second law of motion says that when

### CHAPTER 11 TEST REVIEW

AP PHYSICS Name: Period: Date: 50 Multiple Choice 45 Single Response 5 Multi-Response Free Response 3 Short Free Response 2 Long Free Response DEVIL PHYSICS BADDEST CLASS ON CAMPUS AP EXAM CHAPTER TEST

### July 19 - Work and Energy 1. Name Date Partners

July 19 - Work and Energy 1 Name Date Partners WORK AND ENERGY Energy is the only life and is from the Body; and Reason is the bound or outward circumference of energy. Energy is eternal delight. William

### PHYS 1401 General Physics I EXPERIMENT 14 SIMPLE HARMONIC MOTION. II. APPARATUS Spring, weights, strings, meter stick, photogate and a computer.

PHYS 1401 General Physics I EXPERIMENT 14 SIMPLE HARMONIC MOTION I. INTRODUCTION The objective of this experiment is the study of oscillatory motion. In particular the springmass system will be studied.

### Centripetal Force Exploring Uniform Circular Motion

1 Exploring Uniform Circular Motion An object that moves in a circle at constant speed, v, is said to experience uniform circular motion (UCM). The magnitude of the velocity remains constant, but the direction

### SPH 4U Unit #1 Dynamics Topic #4: Experiment #2:Using an Inertial Balance (Teacher)

1.4.1 Defining Gravitational and Inertial Mass The mass of an object is defined as: a measure of the amount of matter it contains. There are two different quantities called mass: 1.4.1a Defining Inertial

### Exemplar for Internal Achievement Standard. Physics Level 1

Exemplar for internal assessment resource Physics for Achievement Standard 90935 Exemplar for Internal Achievement Standard Physics Level 1 This exemplar supports assessment against: Achievement Standard

### the spring is compressed and x is the compression

Lecture 4 Spring problem and conservation of mechanical energy Hooke's Law The restoring force exerted by the spring is directly proportional to its displacement. The restoring force acts in a direction

### Lab 11. Spring-Mass Oscillations

Lab 11. Spring-Mass Oscillations Goals To determine experimentally whether the supplied spring obeys Hooke s law, and if so, to calculate its spring constant. To find a solution to the differential equation

### LABORATORY IV OSCILLATIONS

LABORATORY IV OSCILLATIONS You are familiar with many objects that oscillate -- a tuning fork, a pendulum, the strings of a guitar, or the beating of a heart. At the microscopic level, you have probably

### Spring Thing: Newton s Second Law. Evaluation copy

Spring Thing: Newton s Second Law DataQuest 7 If you push or pull an object (and yours is the only force on the object), the way it changes its motion depends on two things: the force you apply, and the

### 2nd Edition Physical Science Student Manual

2 nd Edition Physical Science Student Manual 2 nd Edition Physical Science Lab Manual 2016 escience Labs, LLC. All rights reserved. This material may not be reproduced, displayed, modified, or distributed,

### Lab 4: Gauss Gun Conservation of Energy

Lab 4: Gauss Gun Conservation of Energy Before coming to Lab Read the lab handout Complete the pre-lab assignment and hand in at the beginning of your lab section. The pre-lab is written into this weeks

### Comparing the Mechanical Advantage of Levers

Chapter 14 Work, Power, and Machines Investigation 14A Comparing the Mechanical Advantage of Levers Background Information A lever consists of a rigid bar that is free to rotate around a fixed point. The

### Simple Harmonic Motion ===============================================

PHYS 1105 Last edit: May 25, 2017 SMU Physics Dept. Simple Harmonic Motion =============================================== Goal To determine the spring constant k and effective mass m eff of a real spring.

### Section 1 Simple Harmonic Motion. Chapter 11. Preview. Objectives Hooke s Law Sample Problem Simple Harmonic Motion The Simple Pendulum

Section 1 Simple Harmonic Motion Preview Objectives Hooke s Law Sample Problem Simple Harmonic Motion The Simple Pendulum Section 1 Simple Harmonic Motion Objectives Identify the conditions of simple harmonic

### Lab 12. Spring-Mass Oscillations

Lab 12. Spring-Mass Oscillations Goals To determine experimentally whether the supplied spring obeys Hooke s law, and if so, to calculate its spring constant. To determine the spring constant by another

### LABORATORY VIII MECHANICAL OSCILLATIONS

LABORATORY VIII MECHANICAL OSCILLATIONS In most of the laboratory problems this semester, objects have moved with constant acceleration because the net force acting on them has been constant. In this set

### Double Spring Harmonic Oscillator Lab

Dylan Humenik and Benjamin Daily Double Spring Harmonic Oscillator Lab Objectives: -Experimentally determine harmonic equations for a double spring system using various methods Part 1 Determining k of

### How to Write a Laboratory Report

How to Write a Laboratory Report For each experiment you will submit a laboratory report. Laboratory reports are to be turned in at the beginning of the lab period, one week following the completion of

### Newton s Lab. - Relationship Involving Acceleration, Total Force, and Mass - Mr.Chung SPH3U-W April 10, Ingrid Ho Wenjing Zhang

Newton s Lab - Relationship Involving Acceleration, Total Force, and Mass - Mr.Chung SPH3U-W April 10, 2007 Ingrid Ho Wenjing Zhang - Abstract - An exploration of Newton s second law (F=ma) by discovering

### K/U /39 T/I /50 C /102 A

Name: Partner: K/U /39 T/I /50 C /102 A Purpose: What is the relationship between the magnitude of the force causing the acceleration and the frequency of revolution of an object in uniform circular motion?

### PHY 123 Lab 9 Simple Harmonic Motion

PHY 123 Lab 9 Simple Harmonic Motion (updated 11/17/16) The purpose of this lab is to study simple harmonic motion of a system consisting of a mass attached to a spring. You will establish the relationship

### Experiment P-9 An Inclined Plane

1 Experiment P-9 An Inclined Plane Objectives To understand the principles of forces on an inclined plane. To measure the parallel component of the gravitational force and compare it to the calculated

### LAB 4: FORCE AND MOTION

Lab 4 - Force & Motion 37 Name Date Partners LAB 4: FORCE AND MOTION A vulgar Mechanik can practice what he has been taught or seen done, but if he is in an error he knows not how to find it out and correct

### Find the value of λ. (Total 9 marks)

1. A particle of mass 0.5 kg is attached to one end of a light elastic spring of natural length 0.9 m and modulus of elasticity λ newtons. The other end of the spring is attached to a fixed point O 3 on

### LECTURE 12 FRICTION, STRINGS & SPRINGS. Instructor: Kazumi Tolich

LECTURE 12 FRICTION, STRINGS & SPRINGS Instructor: Kazumi Tolich Lecture 12 2! Reading chapter 6-1 to 6-4! Friction " Static friction " Kinetic friction! Strings! Pulleys! Springs Origin of friction 3!!

### Mechanical Behavior of a Spring R. Hooke, DePotentia Restitutiva (1678)

Mechanical Behavior of a Spring R. Hooke, DePotentia Restitutiva (1678) We have measured the strength k of a mechanical spring using both static and dynamic methods. In the static method, we explored Hooke

### Prelab for Friction Lab

Prelab for Friction Lab 1. Predict what the graph of force vs. time will look like for Part 1 of the lab. Ignore the numbers and just sketch a qualitative graph 12-1 Dual-Range Force Sensor Friction and

### Elasticity: Term Paper. Danielle Harper. University of Central Florida

Elasticity: Term Paper Danielle Harper University of Central Florida I. Abstract This research was conducted in order to experimentally test certain components of the theory of elasticity. The theory was

### Simple Harmonic Motion

Physics Topics Simple Harmonic Motion If necessary, review the following topics and relevant textbook sections from Serway / Jewett Physics for Scientists and Engineers, 9th Ed. Hooke s Law (Serway, Sec.

### Physics 4C Simple Harmonic Motion PhET Lab

Physics 4C Simple Harmonic Motion PhET Lab Scott Hildreth Chabot College Goal: Explore principles of Simple Harmonic Motion through both hanging masses and pendula. Then, verify your understanding of how

### Physics 326 Lab 6 10/18/04 DAMPED SIMPLE HARMONIC MOTION

DAMPED SIMPLE HARMONIC MOTION PURPOSE To understand the relationships between force, acceleration, velocity, position, and period of a mass undergoing simple harmonic motion and to determine the effect

### Simple Harmonic Motion

1. Object Simple Harmonic Motion To determine the period of motion of objects that are executing simple harmonic motion and to check the theoretical prediction of such periods. 2. Apparatus Assorted weights

### Teacher Toolkit. Interactive Simulations: 1. Physics Interactive: Mass on a Spring HTML5 Simulation

From The Physics Classroom s Teacher Toolkit http://www.physicsclassroom.com/teacher-toolkits Teacher Toolkit Topic: Vibrational Motion Objectives: 1. To identify several examples of vibrating objects

### HOOKE S LAW FORCE AND STRETCH OF A SPRING

HOOKE S LAW FORCE AND STRETCH OF A SPRING NAME DATE PERIOD Hooke's Law Lab Report 1 of 5 PURPOSE: The purpose of this experiment was to determine the relationship between the stretch of a spring and the

### Experiment: Oscillations of a Mass on a Spring

Physics NYC F17 Objective: Theory: Experiment: Oscillations of a Mass on a Spring A: to verify Hooke s law for a spring and measure its elasticity constant. B: to check the relationship between the period

### PHY 123 Lab 8 - Standing Waves

1 PHY 123 Lab 8 - Standing Waves (updated 10/29/13) The purpose of this lab is to study (transverse) standing waves on a vibrating string. Important! You need to print out the 2 page worksheet you find

### Structures Activity 2 Levers

Structures Activity 2 Levers Object: The objects of this activity are to explore the concepts of torque and rotational equilibrium, study the three classes of lever, and apply the concepts of torque and

### PHYSICS 1 Simple Harmonic Motion

Advanced Placement PHYSICS Simple Harmonic Motion Presenter 04-05 Simple Harmonic Motion What I Absolutely Have to Know to Survive the AP* Exam Whenever the acceleration of an object is proportional to

### Lesson 39: Kinetic Energy & Potential Energy

Lesson 39: Kinetic Energy & Potential Energy Kinetic Energy You ve probably heard of kinetic energy in previous courses using the following definition and formula Any object that is moving has kinetic

### Exemplar for Internal Achievement Standard. Physics Level 3 version 2

Exemplar for Internal Achievement Standard Physics Level 3 version 2 This exemplar supports assessment against: Achievement Standard 91521 Carry out a practical investigation to test a physics theory relating

### UNIT 2 ONE-DIMENSIONAL FORCES AND MOTION. Objectives. To devise a method for applying a constant force to an object.

UNIT 2 ONE-DIMENSIONAL FORCES AND MOTION Objectives To devise a method for applying a constant force to an object. To devise a scale for measuring force. To understand the relationship between force and

### Section 1 Simple Harmonic Motion. The student is expected to:

Section 1 Simple Harmonic Motion TEKS The student is expected to: 7A examine and describe oscillatory motion and wave propagation in various types of media Section 1 Simple Harmonic Motion Preview Objectives

### Friction Lab. 1. Study the relationship between the frictional force and the normal force.

Name: Friction Lab Goals: 1. Study the relationship between the frictional force and the normal force. Static Frictional Force: In the first part of this lab we will use the weight of a hanging mass to

### Transverse Traveling Waves

Purpose: To observe and study the behavior of standing transverse waves and to determine the speed of standing and traveling waves. Equipment: Cenco String Vibrator Hooked Mass Set Pulley Table Clamp String

### Name: Regents Physics Lab # 7. Measuring Height Indirectly

Measuring Height Indirectly Purpose: In this activity you will use your mathematics skills to indirectly measure the height of several objects. You will also practice percent error calculations. Materials:

### Physics 1020 Experiment 6. Equilibrium of a Rigid Body

1 2 Introduction Static equilibrium is defined as a state where an object is not moving in any way. The two conditions for the equilibrium of a rigid body (such as a meter stick) are 1. the vector sum

### CME Conservation of Mechanical Energy revised May 25, 2017

CME Conservation of Mechanical Energy revised May 25, 2017 Learning Objectives: During this lab, you will 1. learn how to communicate scientific results in writing. 2. estimate the uncertainty in a quantity

### Pendulums and the Acceleration of Gravity

GSCI 100 - Physical Science Laboratory Experiment # Name Partners Pendulums and the Acceleration of Gravity Date Section Background: The use of the pendulum for timing purposes was discovered by Galileo

### The Spring-Mass Oscillator

The Spring-Mass Oscillator Goals and Introduction In this experiment, we will examine and quantify the behavior of the spring-mass oscillator. The spring-mass oscillator consists of an object that is free

### Constant velocity and constant acceleration

Constant velocity and constant acceleration Physics 110 Laboratory Introduction In this experiment we will investigate two rather simple forms of motion (kinematics): motion with uniform (non-changing)

### KINEMATICS & DYNAMICS

KINEMATICS & DYNAMICS BY ADVANCED DIFFERENTIAL EQUATIONS Question (**+) In this question take g = 0 ms. A particle of mass M kg is released from rest from a height H m, and allowed to fall down through

### Force Vectors and Static Equilibrium

Force Vectors 1 Force Vectors and Static Equilibrium Overview: In this experiment you will hang weights from pulleys over the edge of a small round force table, to exert various forces on a metal ring

### LABORATORY III FORCES

LABORATORY III FORCES The problems in this laboratory will help you investigate the effect of forces on the motion of objects. In the first problem, you will investigate the effects of forces on a sliding

### Static and Kinetic Friction

Experiment 12 If you try to slide a heavy box resting on the floor, you may find it difficult to get the box moving. Static friction is the force that is acting against the box. If you apply a light horizontal

### Experiments in Physics

Experiments in Physics for MiLAB imagine explore learn www.einsteinworld.com ............... .......... ....... This book contains 31 Physics experiments for students designed for use with MiLAB and

### Section 3. Spring Potential Energy: More Energy. What Do You See? What Do You Think? Investigate

Thrills and Chills Section 3 Spring Potential Energy: More Energy Florida Next Generation Sunshine State Standards: Additional Benchmarks met in Section 3 SC.91.N..4 Explain that scientific knowledge is

### The Pendulum. Goals and Introduction

The Pendulum Goals and Introduction In this experiment, we will examine the relationships between the period, frequency and length of a simple pendulum. The oscillation of a pendulum swinging back and

### Newton's 2 nd Law. . Your end results should only be interms of m

Newton's nd Law Introduction: In today's lab you will demonstrate the validity of Newton's Laws in predicting the motion of a simple mechanical system. The system that you will investigate consists of

### Lab: Applications of Newton s Second Law of Motion

Lab: Applications of Newton s Second Law of Motion Purpose: To investigate the relationship between force and acceleration mathematically, then using an Atwood machine verifying our calculations. Equipment:

### Second Semester Review

Second Semester Review Name Section 4.2 1. Define energy What is energy? Explain if it is scalar or vector in nature. 2. Explain what factors affect the speed of a rollercoaster. Whether a rollercoaster