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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.

a
2π2l3g
b
2π2l3g
c
2π22l3g
d
3πl3g

detailed solution

Correct option is C

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

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