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Question

Physics Question on System of Particles & Rotational Motion

A bob of mass m attached to an inextensible string of length l is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed ωrad/s\omega \,rad/s about the vertical support. About the point of suspension

A

Angular momentum is conserved

B

Angular momentum changes in magnitude but not in direction

C

Angular momentum changes in direction but not in magnitude

D

Angular momentum changes both in direction and magnitude

Answer

Angular momentum changes in direction but not in magnitude

Explanation

Solution

τ=mg×lsinθ\tau=mg \times l \,\sin \,\theta (Direction parallel to plane of rotation of particle)

as τ\tau is perpendicular to L\vec{L}, direction of LL changes but magnitude remains same