Simple Harmonic Motion and Uniform Circular Motion

While simple harmonic motion and uniform circular motion may be two separate concepts, they correlate and interlink with each other. Simple harmonic motion is an oscillatory motion in a system where the net force can be described by Hooke's law, while uniform circular motion is the motion of an object in a circular path at constant speed.

Consider the Moon at a distance A from the center of the Earth, rotating in a circular motion with a constant angular velocity.

Let the Earth's center be the origin of the displacement-time coordinate system. When the Moon moves to a position P, its projection P' on the x-axis makes an angle Ф....