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A child swinging on a swing in sitting position, stands up, then the time period of the swing will

Question

A child swinging on a swing in sitting position, stands up, then the time period of the swing will

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Solution

When a child stands up from a sitting position on a swing, the time period of the swing will decrease. This is because the center of mass of the child rises when they stand up, effectively reducing the length of the pendulum (the swing). The time period of a pendulum is directly proportional to the square root of its length. Therefore, when the length decreases, the time period also decreases. This means the swing will go back and forth more quickly.

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