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Question

A simple pendulum of length $$l$$ and mass (bob) $$m$$ is suspended vertically. The string makes an angle $$\theta$$ 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 $$-mg \sin{\theta}$$
The situation of a pendulum of length '$$l$$' and mass '$$m$$' given in fig when string makes an angle '$$\theta$$' with verticle.
It is clear from fig the component mg $$\cos \theta$$ balances the tension of string at the position and the component mg $$\sin\theta$$ acting towards its mean position. So it will act as restoring force. 

935699_459912_ans_ca7a691e5cc244b3bc442732e167056e.JPG

Physics

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