Which of the following is an example of simple harmonic motion a motion of a simple pendulum b the motion of ceiling fan c the spinning of the earth on its axis d a bouncing bail on a floor

Simple harmonic motion is to and fro motion of object in straight line with small amplitude.

here the force on object must be proportional to displacement from mean position

A) Motion of simple pendulum

Yes it is a simple harmonic motion as it moves to and fro.

B)The motion of ceiling fan

It is not to and fro motion but it is circular motion

C) The spinning of earth on its axis

It is again circular motion on its own axis

D) A bouncing ball on a floor.

It is to and fro motion but it does not follow F = - Kx because here force F = mg

okay i have so many questions. but the big one here is: um wt..f is this mess? ?