A conical pendulum consists of a simple pendulum moving in a horizontal circle as shown in the figure. C is the pivot, O is the center of the circle in which the pendulum bob moves and $ω$ is the constant angular velocity of the bob . If $\vec{L}$ is the angular momentum about point C, then

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only magnitude of $\vec{L}$ is constant

$\vec{L}$ is constant

only direction of $\vec{L}$ is constant

none of the above

answer is C.

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Detailed Solution

About the point C

Angular momentum will be $\vec{L} = \vec{l} x m \vec{v}$

In this case the the magnitude of $\vec{l}$ and magnitude of $\vec{v}$ are constant.

But the direction of $\vec{l}$ and direction of $\vec{v}$ are changing.

So the direction of $\vec{L}$ will change but the magnitude of $\vec{L}$ will be constant.

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