A cord is wound round the circumference of wheel of radius

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

r

. The axis of the wheel is horizontal and the 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 square of angular velocity of wheel will be :- (a)

\frac{2mgh}{I+2mr^2}

(b)

\frac{2mgh}{I+mr^2}

(c)

2gh

(d)

\frac{2gh}{I+mr^2}