A wheel of radius R and moment of inertia I is mounted on a frictionless axle at O . A flexible, weightless cord is wrapped around the rim of the wheel and carries a body of mass M which begins descending as shown in fig. What is the tension in the cord ?
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Sol. Let F be the tension in the cord, x the position of the center of mass of the body and 
the angular velocity of the body as shown in above fig. We have the following equations :
I 
= FR,
M 
= Mg – F,
= R 
,
Which yield F = 
Ans.
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