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A cord is wound around the circumference...

A cord is wound around the circumference of wheel of radius r. the axis of wheel is horizontal and moment of inertia about it is I. A weight mg is attached to the cord at the end. The weight falls from rest. After falling through a distance h, the angular velocity of wheel will be

A

`sqrt(2gh/(1+mr))`

B

`sqrt(2gh)`

C

`sqrt(2mgh/(1+mr^2))`

D

`sqrt(2mgh/(1+2mr^2))`

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A cord of negligible mass is wound round the rim of a fly wheel of mass 20 kg and radius 20 cm. A steady pull of 25 N is applied on the cord as shown in Fig. 7.35. The flywheel is mounted on a horizontal axle with frictionless bearings. (a) Compute the angular acceleration of the wheel. (b) Find the work done by the pull, when 2m of the cord is unwound. (c) Find also the kinetic energy of the wheel at this point. Assume that the wheel starts from rest. (d) Compare answers to parts (b) and (c).