Define Simple harmonic motion (S.H.M). Show that the bob of a simple pendulum may move with simple harmonic motion and find its time period.

 Answer: A Simple Harmonic Motion, or SHM, is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The direction of this restoring force is always towards the mean position. The acceleration of a particle executing simple harmonic motion is given by a(t) = -ω2 x(t). Here, ω is the angular velocity of the particle.