A girl is swinging on a swing in a sitting position. When the girl stands up, the time period of the oscillations will
When the girl stands up from swinging in a sitting position, the time period of the oscillations will increase. This change occurs because her center of mass rises, altering the swing’s dynamics. As a result, the swing takes longer to complete each oscillation.
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When the girl stands up from swinging in a sitting position, the time period of the oscillations will increase. This change occurs due to alterations in her center of mass. When seated, her center of mass is lower, resulting in a shorter pendulum length and faster oscillations. However, upon standing, her center of mass rises, lengthening the pendulum and slowing down the swing’s period. This phenomenon is governed by the principle of conservation of energy and the relationship between potential and kinetic energy in a pendulum system. Regardless of the girl’s height, this change in the swing’s dynamics remains consistent. Therefore, the correct answer is [B] increase. The act of standing redistributes her mass, influencing the swing’s rhythm and extending the time taken for each oscillation.