The figure demonstrates that a ball is attached to a uniformly rotating vertical turntable, and its shadow is projected onto the floor. If the circular motion was not uniform, instead it had an acceleration, then which of the following is true?

The shadow will still show Simple Harmonic Motion
The shadow will show Simple Harmonic Motion for sometime and then oscillate randomly
The shadow will not show Simple Harmonic Motion
The shadow will not form

Question

The figure demonstrates that a ball is attached to a uniformly rotating vertical turntable, and its shadow is projected onto the floor. If the circular motion was not uniform, instead it had an acceleration, then which of the following is true?

The shadow will still show Simple Harmonic Motion
The shadow will show Simple Harmonic Motion for sometime and then oscillate randomly
The shadow will not show Simple Harmonic Motion
The shadow will not form

Toppr Admin · Accepted Answer

In non uniform circular motion- the velocity varies in magnitude- As such angular velocity - -x3C9-vr too varies -xA0- As such the motion wont stay periodic and the acceleration won-apos-t be just negatively proportional to the displacement- The shadow will not show SHM-

In non uniform circular motion, the velocity varies in magnitude. As such angular velocity , ω=vr too varies . As such the motion wont stay periodic and the acceleration won't be just negatively proportional to the displacement. The shadow will not show SHM.

In non uniform circular motion, the velocity varies in magnitude. As such angular velocity , $ω = \frac{v}{r}$ too varies .
As such the motion wont stay periodic and the acceleration won't be just negatively proportional to the displacement. The shadow will not show SHM.