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3A40.20 - Simple Harmonic Motion as the Linear Projection of Circular Motion

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​3A40.20 - Simple Harmonic Motion as the Linear Projection of Circular Motion

Preview
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Title3A40.20 - Simple Harmonic Motion as the Linear Projection of Circular Motion
Objective

Synchronize the simple harmonic motion of a pendulum with the projection of a turntable's motion. ​

StatusAvailable
Assembly Instructions

First, a short rod is stuck to the top of a turntable and shadow-graphed with a filament bulb housed in a shield onto the side wall. Now a pendulum is hung directly above the center of the turntable and its length is adjusted so that its period is the same as that of the turntable.  The speed is about 33 rpms and the pendulum is going to be approximately 70cm long.  If the pendulum is now swung in phase with the pointer on the turntable with an amplitude equal to the radius of the pointer, the shadow graph will show the two moving as if one.

​

Setup Time20
Operation Time
Preview Time8
Operation Instructions

​Start the turntable rotation.  Referencing the shadow graph, when the rod lines up with the position of the pulled back pendulum, release it and watch the two items swing/rotate in phase.  It is important to practice as releasing the pendulum at the wrong time will confuse the viewer.

ExportableNo
Demo on DimeNo
PIRA 200Yes
Export Instructions (if different)
HazardsNone
Analysis/Information
Category3 Oscillations
Subcategory3A - Oscillations
Keywordsshm, circular motion, rotational motion
Construction Information
 
Equipment TitleUse SHIFT+ENTER to open the menu (new window).
  
QuantityUse SHIFT+ENTER to open the menu (new window).
  
pendulum on L-bracket
1
bench clamp
1
turntable 33 1/3
1
indicator rod - white
1
light bulb - 500W, 115V, filament
1
light shield - coffee can with hole for viewing light source
1
switch - on/off with power outlet
2