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Moment of inertia of body resists a change in its state of angular momentum and depends on the mass of the body, size and shape of the body, distribution of mass about the axis of rotation, position and orientation of the axis of rotation. Three bodies, a ring, a solid sphere, a solid cylinder roll down the same inclined plane without slipping. They start from rest. The radii of the bodies are identical.
A thin uniform ring of mass 2 kg and radius 0.5 m rotates at 4 rad/s about an axis tangent to the ring and lying in its plane. Its angular momentum about this axis is (in kg m²/s)
A thin ring and a uniform disc have the same mass and radius and rotate with the same angular speed about their own axes (perpendicular to their planes through the centre). The ratio of angular momentum of ring to that of disc is
A uniform rod of mass 3 kg and length 1.2 m rotates at 5 rad/s about an axis perpendicular to it through one end. Its angular momentum is
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