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Q.

A system of two identical rods (L-shaped) of m ass m and length I are resting on a peg P as shown in the figure. If the system is displaced in its plane by a small angle, find the period of oscillations.

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a

2π2l3g

b

2π2l3g

c

2π22l3g

d

3πl3g

answer is C.

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Detailed Solution

T=2πImgL Here  I=ml23+ml23=2mgl23 From  figure, sin⁡45∘=Ll/2∴ L=l22∴ T=2π2ml23×l22mg=2π22l3g
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