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IMPORTANT
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A solid sphere of radius r is revolving about one of its diameters with an angular velocity ω. If it suddenly expands uniformly so that its radius increases to n times its original value, then its angular velocity becomes

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Important Questions on Rotational Mechanics

EASY
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IMPORTANT
A thin circular ring of mass m and radius R is rotating about its axis perpendicular to the plane of the ring with a constant angular velocity ω. Two point particles each of mass M are attached gently to the opposite ends of a diameter of the ring. The ring now rotates, with an angular velocity ω2. Then, the ratio mM is
HARD
KEAM
IMPORTANT
If a ring rolls down from top to bottom of an inclined plane, it takes time t1. If it slides, it takes time t2. Then the ratio t22t12 is
MEDIUM
KEAM
IMPORTANT
A ball of mass 1 kg and radius 0.5 m, starting from test rolls down on a 30° inclined plane. The torque acting on the ball at the distance of the 7 m from the starting point is close to (take acceleration due to gravity as 10 m/s2)
MEDIUM
KEAM
IMPORTANT
If the radius of the earth suddenly decreases by half of its present value. Then the time duration of one day will be