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Question

Four identical rods of mass M=6 kg each are welded at their ends to form a square and then welded to a massive ring having mass M=4 kg and radius R=1 m. If the system is allowed to roll down the incline of inclination θ=30.


The minimum value of friction coefficient to prevent slipping is

A
57
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B
5123
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C
537
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D
753
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Solution

The correct option is B 5123
Friction force, f=μN ....(1)
where, N=Mgcosθ28×g×32

As we know
fR=IacmRf=20×7g24

using eq. (1)
2724×7g=μ×28g×32μ=5123

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