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Two identical rods each of length l and mass m are welded together at right angles and then suspended from a knife-edge as shown. Angular frequency of small oscillations of the system in its own plane about the point of suspension is

a
3g42l
b
3g22l
c
3g2l
d
None of these

detailed solution

Correct option is B

C is combined centre of mass.h = l2cos45° = l22Moments of Inertia of rods about O: I = 2ml23T =2πI2mgh   = 2π2ml2223[2mg]l = 2π22l3gAngular frequency: ω = 2πT = 3g22l

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