Show that simple harmonic motion may be regarded as the projection of uniform circular motion along a diameter of the circle.

Explanation

The force exerted on a particle executing linear simple harmonic motions is `F= m omega^(2)x` where the centripetal force is necessary for the particle to keep moving in a circular motion is `F_(C )= (mv^(2))/(r )`.
Hence, in both type of motion, type of force are different.