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 - If L- is the angular momentum about point C- thenA- L- is constantB- Only direction of L- is constantC- Only magnitude of L- is constantD- Both magnitude and direction of L- Changes

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Standard XII

Physics

The Principle

A conical pen...

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

is constant

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Only direction of is constant

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Only magnitude of is constant

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Both magnitude and direction of Changes

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Solution

The correct option is C
Only magnitude of is constant

The direction of $¯ L$ is 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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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 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