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Question

A system of two identical rods (L-shaped) of mass m and length l are resting on a peg P as shown in the figure. IF the system is displaced in its plane by a small angle θ, find the period of oscillations:
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A
2π2l3g
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B
2π22l3g
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C
2π2l3g
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D
3πl3g
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Solution

The correct option is A 2π2l3g

T=2πIsupportmglcmIsupport=2(ml23)=23ml2lcm=lcos45=l2T=2π      (23ml2)mg(l2)=2π22l3g


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