simple harmonic motion experiment

Simple Harmonic Motion or SHM is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position. Record the position of the bottom of the hanger.

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EXPERIMENTAL PROCEDURE Procedure 1 1.

. Complete the table Add the extra column T 2 and calculate the values Step 2. Hang the spring from the pendulum clamp and hang the mass hanger from the spring. F frequency number of oscillations per second.

SIMPLE HARMONIC MOTION EXPERIMENT. Add 50 g to the mass hanger and determine the change in position caused by this added weight. Notice that the indicator light is on.

In this experiment you will measure the spring constant kusing two different methods and compare your results. Here ω is. 55 added to the spring.

This motion is periodic meaning the displacement velocity and acceleration all vary sinusoidally. Simple Harmonic Motion - Mass on a Spring 012-07000A p. The student will measure the spring constant kby measuring the spring stretch as various weights are hung from the spring.

Y distance from the equilibrium position at time t. For our final lab. An object oscillating in simple harmonic motion is described by 1 where.

About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy Safety How YouTube works Test new features Press Copyright Contact us Creators. Since simple harmonic motion is a periodic oscillation we can measure its period the time it takes for one oscillation and therefore determine its frequency the number of oscillations per unit time or the inverse of the period. In particular the spring-mass system will be studied.

Set-up of computer and interface Turn on the Pasco 750 interface first. Hookes law for a spring states that the magnitude of the force exerted by a spring is. Procedure and Analysis for the Simple Harmonic Motion Experiment I.

ï angular frequency of the oscillation 2ï f. Fkx1 where xis the displacement of the spring from equilibrium. To study the effects of friction on an oscillating system which leads to damping.

Simple Harmonic Motion Mass on a Spring. EXPERIMENT 14 SIMPLE HARMONIC MOTION I. Let it oscillate a few times so the mass hanger will move up-and-down without much side-to-side motion.

It is not an exact description of the pendulum but can be made as accurate as desired by limiting to sufficiently small. Experiment 5 Simple Harmonic Motion Goals 1. Plot the graph of T2 against the mass m Make sure the axes are properly labelled and the line of best fit is.

After that we will analyze the data for our simple harmonic motion experiment. Place a meter stick next to the spring so you can measure the spring stretch. Calculate the gradient of the.

Tape the meter stick so it does not move. Hang the spring from a support and attach a 50g hanger. Then the frequency of oscil-.

INTRODUCTION The objective of this experiment is the study of oscillatory motion. Turn on the computer and login. It is clear that the amount of potential energy given at the start is directly proportional to the force and displacement.

The two most common experiments that. The main purpose of this experiment is to show that simple harmonic motion is the projection of a circular motion. To use a non-linear least-squares fitting procedure to.

To understand the properties of an oscillating system governed by Hookes Law. Simple Harmonic Motion PROCEDURE PART 1. 1 Predict the pendulum oscillation period 2 Programmably collect the pendulum simple harmonic movement experiment data 3 Use kmean to group data and remove outliers in the analysis process 4 Use short-time FFT to estimate.

A amplitude maximum distance from equilibrium position. The experiment can be used to introduce or illustrate ideas of phase phase difference and angular velocity. Spring Constant - Hookes Law 1.

James Allison Clint Rowe William Cochran. The numerical analysis focuses on the following topics. The direction of this restoring force is always towards the mean position.

Call it x 0. Set up the equipment as shown in Figure 1 Click on Data Studio following separate Data Studio instructions. Determine the period of oscillation for at least five different masses added to the spring.

It is better to have the big numbers on the meter stick toward the bottom. As the shadow motions show circular motion when viewed from the side exactly matches a simple harmonic oscillator. An oscillation is one complete back-and-forth motion.

This was the most accurate experiment all semester. If in radians is small then it is possible to approximate sin by itself leading to the much simpler equation of motion d2 dt2 mgL I 8-3 This is the equation for simple harmonic motion. The acceleration of a particle executing simple harmonic motion is given by at -ω 2 xt.

Place a stool un-der the hanger and measure the initial height x0 above the stool. 92 1999 PASCO scientific P14 PART II. Since it is the entire mass that is oscillating it is now necessary to include the entire mass Figure 92 Simple harmonic oscillation.

When an oscillating mass as in the case of a mass bouncing on a spring experiences a force that is linearly proportional to its displacement but in the opposite direction the resulting motion is known as simple harmonic motion. Pull the mass down to stretch the spring about 20 cm. Worked Example Step 1.

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