Physlet Illustration: Uniform Circular and Simple Harmonic Motion

 

 
The above animation shows the analogy between circular motion (coin on turntable) and simple harmonic motion (hanging mass on a spring). Given the above animation (position is in meters and time is in seconds) does the graph properly denote position verses time for a horizontal spring synchronized with the turntable?

Hints

  1. Is the x-position or the y-position of the coin synchronized with the mass on the spring?
  2. Is the period the same for the coin and mass on the spring?

Reference

See Walker, Section 13-3

Illustration written by Mario Belloni and Modified by Chuck Niederriter