Pendulum \( A \) is a physical pendulum made from a thin, rigid and uniform rod whose length is ...

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Pendulum \( A \) is a physical pendulum made from a thin, rigid and 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 \( d \). Obtain the ratio \( \frac{T_{A}}{T_{B}} \) of their periods for small angle oscillations.
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