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Question

By which of the following ways we can maximise the torque of a force applied to a rotating object?
I. Maximise the magnitude of the applied force.
II. Reduce the distance of a point from the axis of rotation at which force is applied.
III. Apply the force perpendicular to the displacement vector between the axis of rotation and the point of applied force.

A
I only
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B
II only
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C
I and II only
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D
I and III only
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E
I, II, and III
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Solution

The correct option is D I and III only
The torque of a force is given by
τ=rFsinθ
therefore τ can be maximised if we -- maximise the force F
--maximise the r
--maximise the sinθ, maximum value of sinθ is 1 i.e.sinθ=1=sin90 or θ=90 it means we apply the force perpendicular to the displacement vector between axis of rotation and point of applied force.

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