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Answer :
The new period of the system will remain the same, 8.71 s.
The period of a pendulum (or swinging motion) depends solely on its length and the acceleration due to gravity, and is independent of the mass or amplitude of the swing. When the performer stands up, raising the center of mass, it doesn't affect the length of the pendulum (trapeze) or the acceleration due to gravity. Therefore, the period of the swinging motion remains unchanged. The change in the performer's position will impact the amplitude of the swing, but it won't affect the time it takes for each complete swing.
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