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A light rod of length l has two masses m1 and m2 attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is

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Important Questions on Rotational Mechanics

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A solid cylinder of radius 5 cm is pure rolling on 30° inclined plane. Find out angular velocity after it travels 6 m on an incline plane.

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A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N ?
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Two discs of same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of disc with angular velocities ω1 and ω2. They are brought in to contact face to face coinciding the axis of rotation. The expression for the loss of energy during this process is:
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Find the moment of inertia of a uniform annular disc of mass 100 g, having an inner radius 10 cm and outer radius 20 cm, about an axis passing through its centre and perpendicular to its plane.
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Three objects, A: (a solid sphere), B: (a thin circular disk) and C= (a circular ring), each have the same mass M and radius R. They all spin with the same angular speed or about their own symmetry axes. The amounts of work (W) required to bring them to rest would satisfy the relation:
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The moment of force, F=4i^+5j^-6k^ at 2, 0,-3 about the point, 2,-2,-2 is given by,
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A solid sphere is in a rolling motion. In rolling motion, a body possesses translational kinetic energy Kt as well as rotational kinetic energy Kr simultaneously, The ratio Kt : Kt+Kr for the sphere is
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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?