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A mass M is supported by a massless string wound round uniform cylinder of mass...

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A mass M is supported by a massless string wound round uniform cylinder of mass M and radius R On releasing the mass from rest it will fall with acceleration M 1 g 2 g 2 3 g 3 4 2 g 3 3 vo M 10 A solid ball of radius r rolls inside a hemispherical shell of radius R It is released from rest from point A as shown in fig The angular velocity of centre of the ball in position B about the centre of the shell is g 2 5 R 1 1 2 3 4 10 g 7 R r 28 5 Rr 5g 2 R 1 9 12 A heavy ball is thrown on a rough horizontal surface in such a way that it slides with a speed vo initially without rolling It will roll without sliding when its speed falls to 1 vo In the fig the plank is being pulled to the right with a constant speed v If the cylinder does not slip then 11 The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height h from rest without sliding is 10 1 gh V 2 gh 3 6 4 gh 1 the speed of the centre of mass of the cylinder is 2 v 2 the speed of the centre of mass of the cylinder is v 3 the angular velocity of the cylinder is v R 4 the angular velocity of the cylinder is zero 13 R The minimum value of F for which the cube a begins to topple about an edge is mig 20 3

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