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Question

A pendulum is suspended from a point A and is given a small initial velocity so that it starts oscillating. What will be the axis of rotation for this oscillating pendulum?

A
A line passing through A on the plane of oscillation.
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B
A line passing through the bob of the pendulum, perpendicular to the plane of oscillation.
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C
A line along the rod of the pendulum n the plane of oscillation.
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D
A line passing through A, perpendicular to the plane of oscillation.
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Solution

The correct option is D A line passing through A, perpendicular to the plane of oscillation.
If we consider the pendulum as one system, then the pendulum oscillates about the point of suspension i.e. A.
All the particles of the system should be at a constant distance from the axis throughout its motion and the axis has to be in contact with the system. Hence the axis cannot be parallel to the plane of oscillation.

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