Four indentical thin rods each of mass M and length l, form a square frame. Momentum of inertia of this frame about an axis through the centre of the square and perpendicular to its plane […]
If F⃗ is the force acting on a particle having position vector r⃗ and ? ⃗ be the torque of this force about the origin, then:
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(a) r⃗ . ? ⃗ > […]
A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity ?. If two objects each of mass […]
A coin of mass m and radius r having moment of inertia I about the axis passes through its centre and perpendicular to its plane. It is beaten uniformly to form a disc of radius […]
The ratio of the radii or gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is:
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(a) √3 : √2 […]
A cockroach is moving with a velocity v in anticlockwise direction on the rim of a radius R of mass m. The moment of inertia of the disc about the axis is I and it […]
A wheel has angular acceleration of 3.0 rad/sec² and an initial angular speed of 2.00 rad/sec. In a time of 2 sec it has rotated through an angle (in radian) of
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(a) […]
A drum of radius R and mass M, rolls down without slipping along an inclined plane of angle θ. The frictional force
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(a) Dissipates energy as heat (b) Decreases the rotational motion […]
One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moments of inertia about their diameters are respectively Iᴀ and Iʙ such that
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(a) […]
A circular disc X of radius R is made from an iron plate of thickness t and another disc Y of radius 4R is made from an iron plate of thickness t/4. Then the relation […]
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