Question
Why should the amplitude of the vibrating pendulum be small?
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Answer
When amplitude of the vibrating pendulum is small, then angular displacement of the bob used in simple pendulum is small. Here the restoring force$\text{F}=\text{mg}\sin\theta=\text{mg}\theta=\frac{\text{mgx}}{\text{l}}$
Where x is the displacement of the bob and I is the length of pendulum . Hence $\text{F}\propto\text{x}$ Since F is directed towards mean position, therefore the motion of the bob of simple pendulum will be S. H. M.if $\theta$ is small.
Where x is the displacement of the bob and I is the length of pendulum . Hence $\text{F}\propto\text{x}$ Since F is directed towards mean position, therefore the motion of the bob of simple pendulum will be S. H. M.if $\theta$ is small.
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