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Question

A simple pendulum of length l and mass (bob) m is suspended vertically. The string makes an angle θ with the vertical. The restoring force acting on the pendulum is:

A
mgtanθ
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B
mgsinθ
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C
mgsinθ
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D
mgcosθ
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Solution

The correct option is B mgsinθ
The situation of a pendulum of length 'l' and mass 'm' given in fig when string makes an angle 'θ' with verticle.
It is clear from fig the component mg cosθ balances the tension of string at the position and the component mg sinθ acting towards its mean position. So it will act as restoring force.

935699_459912_ans_ca7a691e5cc244b3bc442732e167056e.JPG

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