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Instantaneous Axis of Rotation

A rod of mass...

Question

A rod of mass $m$ and length $l$ is free to rotate in the vertical plane about a horizontal axis. The time period of small a solutions of the rod when the rod rotates about on axis through $A, B$ & $C$ are given as $T_{1}, T_{2}$ & $T_{3}$ respectively. $O A = \frac{ℓ}{4}, O B = \frac{ℓ}{3}$ , and $O C = \frac{ℓ}{6}$ .

A

T_{1} > T_{2}

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B

T_{1} < T_{3}

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C

T_{2} < T_{3}

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D

T_{3} > T_{2}

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Solution

The correct option is B $T_{1} < T_{3}$
Answer B is correct.

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