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Q.

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

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a

2ghI+mr

b

[2mgh1+mr2]12

c

[2mghI+2m]12

d

2gh

answer is B.

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Detailed Solution

mgh = 12mv2+12Iω2, v = ωrω = 2mghI+ mr2
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