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?

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

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

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

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