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in Rotational motion by (65.8k points)
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A solid cylinder of mass M and R is mounted on a frictionless horizontal axle so that it can freely rotate about this axis. A string of negligible mass is wrapped round the cylinder and a body of mass m is hung from the string as shown in figure the mass is released from rest then___

The tension in string is 

(A) mg 

(B) [(Mmg) / (M + m)] 

(C) [(2Mmg) / (M + 2m)] 

(D) [(mMg) / (M + 2m)]

1 Answer

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Best answer

Correct option: (D) [(mMg) / (M + 2m)]

Explanation:

Tension in string = τ = mg[I / (I + mR2)]

T = mg[{(MR2) / 2} / {(MR2 / 2) + mR2}]

= mg[(MR2) / (MR2 + 2mR2)]

= [(mMg) / (M + 2m)]

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