Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- Two bodies of masses m_1 and m_2 (m_1>m_2) are tied to the ends of a massless string, which passes over a light and frictionless...
- There is a uniform circular disc of radius R, and a concentric disc of radius r (where r<R) is cut off from it. The distance of...
- Statement 1: The centre of mass of an electron and proton, when released, moves faster towards the proton. Statement 2: This is...
- A ball of mass m moving with a velocity u collides head-on with another ball of mass m initially at rest. If the coefficient of...
- A gas molecule of mass m strikes the wall of a container with a speed v at an angle with the normal to the wall at the point of...
- A particle is projected with 200 ms⁻¹, at an angle of 60°. At the highest point, it explodes into three particles of equal...
- The velocity of the centre of mass of a two-particle system is v and the total mass of the particles is M. The kinetic energy of...
- Moment of inertia of a solid cylinder of length L and diameter D, about an axis passing through its centre of gravity and...
- The moment of inertia of a sphere of mass M and radius R is 25MR^2. The radius of gyration of the sphere about a parallel axis to...
- Two wheels A and B are mounted on the same axle. Moment of inertia of A is 6 kg·m² and it is rotating at 600 rpm when B is at...
- The moment of inertia of a dumb-bell, consisting of point masses m_1=2.0 kg and m_2=1.0 kg, fixed to the ends of a rigid massless...
- Two masses of 200 g and 300 g are attached to the 20 cm and 70 cm marks of a light metre rod respectively. The moment of inertia...
- Of two eggs which have identical sizes, shapes and weights, one is raw and the other is half-boiled. The ratio between the moment...
- A solid cylinder of mass 2 kg and radius 0.2 m is rotating about its own axis without friction, with angular velocity 3 rad s⁻¹....
- A man of 80 kg mass is standing on the rim of a circular platform of mass 100 kg, rotating about its own axis at 12.0 rpm. If the...
- A ring of diameter 0.4 m and of mass 10 kg is rotating about its axis at the rate of 1200 rpm. The angular momentum of the ring is
- A cord is wound round the circumference of a wheel of radius r. The axis of the wheel is horizontal, and its moment of inertia...
- An ice skater spins at 3 rad s⁻¹ with her arms extended. If her moment of inertia with arms folded is 75% of that with arms...
- A flywheel of moment of inertia 0.4 kg·m² and radius 0.2 m is free to rotate about a central axis. If a string is wrapped around...
- A thin uniform rod AB of mass m and length L is hinged at one end A to the level floor. Initially it stands vertically and is...
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