A particle undergoes uniform circular motion. About which point on the plane of the circle will the angular momentum of the particle remain conserved? [2003]

Question

A particle undergoes uniform circular motion. About which point on the plane of the circle will the angular momentum of the particle remain conserved? [2003]

Smart Achievers · Accepted Answer

(1)

The net force acting on a particle undergoing uniform circular motion is centripetal force towards centre of the circle.

The torque due to this force about the centre is zero, therefore, angular momentum $\vec{L}$ about centre is conserved.

Solution

Q.
A particle undergoes uniform circular motion. About which point on the plane of the circle will the angular momentum of the particle remain conserved [2003]

1 centre of the circle

2 on the circumference of the circle

3 inside the circle

4 outside the circle

Ans.
(1)

The net force acting on a particle undergoing uniform circular motion is centripetal force towards centre of the circle.

The torque due to this force about the centre is zero, therefore, angular momentum $\vec{L}$ about centre is conserved.

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