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The angular momentum of the body remains to conserve if

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Important Questions on Rotational Mechanics

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IMPORTANT
A person is standing on the edge of a circular platform, which is moving with constant angular speed about an axis passing through its centre and perpendicular to the plane of the platform. If a person is moving along any radius towards the axis of rotation then the angular velocity will
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A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity ω. Four objects each of mass m, are kept gently to the opposite ends of two perpendicular diameters of the ring. The angular velocity of the ring will be
EASY
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A round disc of moment of inertia I2 about its axis perpendicular to its plane and passing through its center is placed over another disc of moment of inertia I1 rotating with an angular velocity ω about the same axis. The final angular velocity of the combination of discs is 
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Rate of change of angular momentum with respect to time is proportional to :-
HARD
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IMPORTANT
A small steel sphere of mass m is tied to a string of length r and is whirled in a horizontal circle with a uniform angular velocity 2ω. The string is suddenly pulled, so that radius of the circle is halved. The new angular velocity will be
HARD
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If the earth were to suddenly contract to half its present size, without any change in its mass, the duration of the new day will be
HARD
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A stone is attached to the end of a string and whirled in horizontal circle, then:-
MEDIUM
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A thin rod of mass m and length L is suspended from one end and rotated with n rotations per second. The rotational kinetic energy of the rod will be