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Question

A conical pendulum consists of a simple pendulum moving in a horizontal circle as shown in the figure. C is the pivot, O the centre of the circle in which the pendulum bob moves with a constant angular velocity ω . If ¯L is the angular momentum about point C, then


A

is constant

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B

Only direction of is constant

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C

Only magnitude of is constant

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D

Both magnitude and direction of Changes

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Solution

The correct option is C

Only magnitude of is constant


The direction of ¯Lis perpendicular to the line joining the bob to point C. Since this line keeps changing its orientation in space, direction of ¯L

magnitude of ¯L remains constant.

Alter : The torque about point is perpendicular to the angular momentum vector about point C.

Hence only change the direction of L, and not its magnitude.


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