Question

1. A body makes uniform circular motion along the circumference of a circle. Motion of the body
LEVEL - I (HOMEWORK
1) periodic and SHM
2) periodic but not SHM
3) SHM but not periodic
4) neither periodic nor SHM​

Answer 1

Given:

A body makes uniform circular motion along the circumference of a circle.

To describe:

Motion of the body?

Solution:

A body showing UNIFORM CIRCULAR MOTION means that the object is travelling in a circular trajectory with constant speed.

Let the speed be v and radius of trajectory be r:

$\therefore \: time \: period = \dfrac{distance}{speed}$

$\implies\: time \: period = \dfrac{2\pi r}{v}$

$\implies\: time \: period = constant$

So, the object will complete one revolution after a specific time, hence it's motion is PERIODIC.

However, the motion is not an SHM as the force experienced by body doesn't follow the rule:

$\boxed{F = - kx}$

So, final answer is:

Periodic but not SHM.