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Q.

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 $ω$ rad/s about the vertical.
About the point of suspension

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a

Angular momentum is conserved.

b

Angular momentum changes both in direction and magnitude

c

Angular momentum changes in direction but not in magnitude

d

Angular momentum changes in magnitude but not in direction

answer is C.

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Detailed Solution

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Magnitude of $L = mlvsin 90^{0} = m \sqrt{r^{2} + h^{2}} v$ remains the same.

As the position of particle on circle changes, direction of $\vec{L}$ keeps on changing.

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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 ω rad/s about the vertical. About the point of suspension