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A small steel sphere of mass is tied to a string of length and is whirled in a horizontal circle with a uniform angular velocity . The string is suddenly pulled, so that radius of the circle is halved. The new angular velocity will be
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Important Questions on Rotational Mechanics
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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
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A stone is attached to the end of a string and whirled in horizontal circle, then:-
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A thin rod of mass and length is suspended from one end and rotated with rotations per second. The rotational kinetic energy of the rod will be
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The rotational kinetic energy of a body is . In the absence of external torque, if the mass of the body is halved and the radius of gyration doubled, then its rotational kinetic energy will be:-
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A particle of mass is describing a circular path of radius with uniform speed. If is the angular momentum of the particle (about the axis of the circle), then the kinetic energy of the particle is:
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A particle performs uniform circular motion with an angular momentum . If the frequency of particle motion is doubled and its kinetic energy is halved, the angular momentum becomes,
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A flywheel is making revolutions per minute about its axis. If the moment of inertia of the flywheel about that axis is , its rotational kinetic energy is:
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A ring is rolling without slipping. Its energy of translation is . Its total kinetic energy will be:-
