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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 center of the circle in which the pendulum bob moves and  the constant angular velocity of the bob.  If L is the angular momentum about point C, then

  1. Only magnitude of L is constant
  2. Both magnitude and direction of L​ changes
  3. L is constant 
  4. Only direction of L is constant


Solution

The correct option is A Only magnitude of L 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 keeps changing however as ω is constant, magnitude of L remains constant.

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