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Question:
prove that a slight change inthe displacement a bob does not affect the simple pendulum
Answer:

A simple pendulum is based on the conservation of energy.

bob

In the above figure, B is the mean position and A and C are extreme positions of the simple pendulum.

1. So,it is at position B, its kinetic energy is maximum and potential energy is minimum (h is greater than h1).

2.At points A and C the potential energy is maximum and the kinetic energy is zero.

So,at every point, Kinetic energy +Potential energy = constant

Which means if we make small change in displacement of simple pendulum,then this will not effect the pendulum.

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