Q.

Suppose a uniform steel ring (mass M and radius R) is kept on a smooth horizontal surface with its plane horizontal. It is hinged about a point O on the perimeter & is made to rotate in a horizontal plane as shown (A, B & C are points on the ring). Then, regarding longitudinal stress developed in the ring :

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a

it will be maximum at A

b

it will be minimum at A

c

it will be equal at B and C and that value will be maximum.

d

it will be more at O than A by an amount  Mω2π2R.

answer is B.

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Detailed Solution

dT||=(dm)rω2sinθ2    T=TA+MRω22π(1cosθ)

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