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Q. A small bob attached to a light inextensible thread of length $l$ has a periodic time $T$ when allowed to vibrate as a simple pendulum. The thread is now suspended from a fixed end O of a vertical rigid rod of length $\frac{3 l}{4}$ (as in figure). If now the pendulum performs periodic oscillations in this arrangement, the periodic time will bePhysics Question Image

Oscillations

Solution:

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$T ^{\prime}=2\left(\frac{ T }{8}+\frac{ T }{4}\right)$