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A solid sphere of radius is revolving about one of its diameters with an angular velocity If it suddenly expands uniformly so that its radius increases to times its original value, then its angular velocity becomes
(a)
(b)
(c)
(d)
(e)

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Important Questions on Rotational Mechanics
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A thin circular ring of mass and radius is rotating about its axis perpendicular to the plane of the ring with a constant angular velocity . Two point particles each of mass are attached gently to the opposite ends of a diameter of the ring. The ring now rotates, with an angular velocity . Then, the ratio is

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If a ring rolls down from top to bottom of an inclined plane, it takes time If it slides, it takes time Then the ratio is

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A ball of mass and radius starting from test rolls down on a inclined plane. The torque acting on the ball at the distance of the from the starting point is close to (take acceleration due to gravity as

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If the radius of the earth suddenly decreases by half of its present value. Then the time duration of one day will be
