Columbia University Physics Lecture Demonstrations


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3A40.1 Circular Motion vs. Mass on a Spring

[Setup Time: 15 Min.] [Current Condition: Good]

Info

mass moves up and down on a spring; a peg moves up and down on a rotating circle; a light source projects their shadows onto a screen, and the superimposed images move in synchronized motion.

Setup Instructions

1. The easiest arrangement of the items is: point source, then mass and spring, then rotating circle (on the large blocks), and finally (of course) the screen. It's easier this way because when the mass is closer to the light source, its shadow is larger, and therefore you have a greater margin of error in trying to synchronize with the rotating circle.

2. Once the items are set on the bench in this order, turn the point source on. Looking at the shadows on the screen, get things vertically aligned so the shadow of the disk is perfectly flat, and the mass is in line with the peg.

3. Next get things horizontally aligned: the peg should be rotated so that its shadow falls on the center of the disk.

4. Then the bar that the spring hangs from should be raised or lowered so that, at equilibrium, the mass is also in line with the peg and the center of the disk.

5. Now turn the variac on and set the disk rotating at a slow speed.

6. Pull the mass down so that its shadow overlaps with the lowest position of the peg: get ready and let go when they are perfectly overlapped.

7. Then watch the shadows and see whether the disk is moving too fast or too slow. Adjust the speed and repeat. This takes quite a bit of fine-tuning, and some practice timing when to release the spring.

Parts List

Rotating Circle Device C. Oscillations, 2B

Variac L. Misc

Light Point Source L. Misc

2 Large Blocks in A. Mechanics, 1B

Pole Assembly by backwall

Spring in C. Oscillations, 1B

Mass in A. Mechanics, 1B

Screen by backwall

Relevant Simulation

Demo Example:

Other Information

Simple Harmonic Motion as the Linear Projection of Circular Motion
Linear Projection of Circular Motion

Real-Life Examples

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More Advanced Reading

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