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A solid cylinder and a solid sphere both having the same mass and radius are released from a rough inclined plane. Both roll without slipping. Then,
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Important Questions on Rotational Mechanics
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A rod of length is pivoted at one end. It is raised such that it makes an angle of from the horizontal as shown and released from rest. Its angular speed when it passes through the horizontal (in ) will be
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EASY
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HARD
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MEDIUM
A rigid massless rod of length has two masses attached at each end as shown in the figure. The rod is pivoted at point on the horizontal axis. When released from the initial horizontal position, its instantaneous angular acceleration will be
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MEDIUM
HARD
MEDIUM
MEDIUM
MEDIUM
A solid sphere and solid cylinder of identical radii approach an incline with the same linear velocity (see figure). Both roll without slipping all throughout. The two climb maximum heights and on the incline. The ratio is given by:
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MEDIUM
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EASY