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A uniform rod of length L and mass M is ...

A uniform rod of length `L` and mass `M` is pivoted at the centre. Its two ends are attached to two springs of equal spring constants `k`. The springs as shown in the figure, and the rod is free to oscillate in the horizontal plane. the rod is gently pushed through a small angle `theta` in one direction and released. the frequency of oscillation is-

A

`(1)/(2pi ) sqrt((k)/(M))`

B

`(1)/(2pi ) sqrt((2k)/(M))`

C

`(1)/(2pi) sqrt( (3k)/(M))`

D

`(1)/( 2pi) sqrt((6k)/(M))`

Text Solution

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The correct Answer is:
D
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