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Question

Pendulum A is a physical pendulum made from a thin, rigid, uniform rod whose length is d. One end of this rod is attached to the ceiling by a frictionless hinge so that the rod is free to swing back and forth. Pendulum B is a simple pendulum whose length is also d. If the ratio of time periods of their small angle oscillations is found to be TATB=x3, the value of x is

A
2.0
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B
2
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C
2.00
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Solution

TA=2πImgl=2π   md2/3mg(d2)=23[2πdg ]

TB=2πdg

TATB=23

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