Circular and Harmonic Motion Compared

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=2Z_7_4z90u8

A quick look at the motion of the shadow of an object in circular motion. • The shadow is in simple harmonic motion. • Circular motion and harmonic motion share bits of the same math. If you've ever wondered why the motion of a mass on a spring or a pendulum contain sines and cosines, this quick video will help you see why that is the case. • As the oscillator reaches the maximum displacement, it starts to slow down. This deceleration is smooth, but not constant because the restoring force is dependent upon the displacement. • For an object in circular motion, the speed in each dimension (x or y) slows down as the object reaches the limit of the radius in that direction. Even though the overall speed around the circle remains constant, it varies between the two dimensions. • The shadow of the object moving in a circle would then show only one of the two dimensions. This assumes that there is a nice light source with parallel rays hitting the circular path. • For more info on harmonic motion, check out the other videos in this playlist... • • Springs - Choice of Coordinate system

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