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Question

A uniform rod of mass M and length is hanging from its central point as shown. A small ball of equal mass M is attached to the lower end. Time period of small oscillation of the rod is

A
2πl2g
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B
2πl3g
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C
2πlg
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D
2π2l3g
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Solution

The correct option is D 2π2l3g
(Ml24+<l212)α=Mgl2θ

Ml23α=Mgl2θ

ω2=3g2l

T=2π2l3g

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