Creating Circular Motion from Sine and Cosine Curves

The video tutorial explains simple harmonic motion using a vertical and horizontal mass spring system. It demonstrates how a sine curve is formed from vertical motion and a cosine curve from horizontal motion. By combining these motions, circular motion is achieved, similar to a marker cap moving on a turntable. The tutorial concludes with a summary of these concepts.

What type of curve is created by the y position of a dance moving in simple harmonic motion?

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Why is the curve created by the dot moving in the y direction a cosine curve?

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How are the sine and cosine curves related in terms of their shapes and positions?

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What is the shape created by the intersection of the lines from the motions described by sine and cosine curves?

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What happens when you combine simple harmonic motion in the x direction with simple harmonic motion in the y direction?

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