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A long uniform rod of length L and mass ...

A long uniform rod of length `L` and mass `M` is free to rotate in a horizontal plane about a vertical axis through its one end 'O'. A spring of force constant `k` is connected between one end of the rod and `PQ`. When the rod is in equilibrium it is parallel to `PQ`.

(a)What is the period of small oscillation that result when the rod is rotated slightly and released ?
(b) What will be the maximum speed of the displacement end of the rod, if the amplitude of motion is `theta_(0)`?

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