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Questions  

A ball of mass m and radius r is rolling without slipping inside a hemispherical shell of radius R. It is released from rest from point A as shown in figure. The angular velocity of centre of the ball in position B about the centre of the shell is 

a
2g5(R-r)
b
10 g7(R-r)
c
2g7(R-r)
d
5g2(R-r)

detailed solution

Correct option is B

K.E. of ball in position B = mg(R-r)Here m = mass of ball.Since it rolls without slipping the ratio of rotational to translational kinetic energy will be 25.KRKT = 25KT = 57mg(R-r)12mv2 = 57mg(R-r)v =10 g(R-r)7ω = vR-r = 10 g7(R-r)

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Similar Questions

I. Speed of any point on rigid body executing rolling motion can be calculated by the expression ν=rω
where r is the distance of point from instantaneous centre of rotation.
II. Rolling motion of rigid body can be considered as a pure rotation about instantaneous centre of rotation.
Which of the above statement{s} is/are correct? 


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