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Q.

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

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a

3g42l

b

3g22l

c

3g2l

d

None of these

answer is B.

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Detailed Solution

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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