HARD
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Find the moment of inertia of a uniform annular disc of mass , having an inner radius and outer radius , about an axis passing through its centre and perpendicular to its plane.
(a)
(b)
(c)
(d)

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Important Questions on Rotational Mechanics
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IMPORTANT
Three objects,: (a solid sphere), : (a thin circular disk) and (a circular ring), each have the same mass and radius . They all spin with the same angular speed or about their own symmetry axes. The amounts of work required to bring them to rest would satisfy the relation:

MEDIUM
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The moment of force, at about the point, is given by,

EASY
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A solid sphere is in a rolling motion. In rolling motion, a body possesses translational kinetic energy as well as rotational kinetic energy simultaneously, The ratio for the sphere is

EASY
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A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the sphere?

HARD
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The tractor is moving with a velocity of . Mass of belt is . of the belt is:-

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An elevator initially at rest supported by a cable passes over a pulley of radius . It is accelerated upwards with Find the number of rotations made by pulley during .

HARD
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A string is wound round the rim of a mounted flywheel disc of mass and radius . A steady pull of is applied to the cord. Neglecting friction and mass of the string, the angular acceleration of the wheel is:-

HARD
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The figure shows a horizontal block of mass suspended by two wires and . The centre of mass of the block is closer to than. Is the magnitude of the torque due to wire is greater, less or equal to that due to w.r.t. centre of mass? Which wire or exerts more force on the block?
