Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- The torque of a force 5 i + 3 j - 7 k about the origin is . If the force acts on a particle whose position vector is 2 i + 2 j +...
- Two bodies of mass 1 kg and 3 kg have position vectors i + 2 j + k and -3 i - 2 j + k respectively. The magnitude of position...
- The moment of inertia of a uniform thin rod about a perpendicular axis passing through one end is I_ 1 . The same rod is bent...
- A body of mass M at rest explodes into three pieces, in the ratio of masses 1 : 1 : 2. Two smaller pieces fly off perpendicular...
- Two identical solid spheres each of mass 2 kg and radii 10 cm are fixed at the ends of a light rod. The separation between the...
- The moment of inertia of a semicircular ring about an axis, passing through the center and perpendicular to the plane of ring, is...
- A particle of mass m moving with velocity v collides with a stationary particle of mass 2m. After collision, they stick together...
- A circular plate is rotating in horizontal plane, about an axis passing through its centre and perpendicular to the plate, with...
- A solid sphere of mass 500 g radius 5 cm is rotated about one of its diameter with angular speed 10 rad s^ -1 . If the moment of...
- For rolling spherical shell, the ratio of rotational kinetic energy and total kinetic energy is x 5 . The value of x is...
- A light rope is wound around a hollow cylinder of mass 5 kg and radius 70 cm. The rope is pulled with a force of 52.5 N. The...
- A bullet of 10 g leaves the barrel of gun with a velocity of 600 m/s. If the barrel of gun is 50 cm long and mass of gun is 3 kg,...
- A solid sphere is rolling on a horizontal plane without slipping. If the ratio of angular momentum about axis of rotation of the...
- A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal surface without slipping. The ratio of...
- A uniform solid cylinder with radius R and length L has moment of inertia I_1, about the axis of the cylinder. A concentric solid...
- If a solid sphere of mass 5 kg and a disc of mass 4 kg have the same radius. Then the ratio of moment of inertia of the disc...
- A body of mass 1 kg collides head on elastically with a stationary body of mass 3 kg. After collision, the smaller body reverses...
- I_ CM is the moment of inertia of a circular disc about an axis (CM) passing through its center and perpendicular to the plane of...
- A solid sphere of mass 2 kg is making pure rolling on a horizontal surface with kinetic energy 2240 J. The velocity of centre of...
- A ball of mass 200 g rests on a vertical post of height 20 m. A bullet of mass 10 g, travelling in horizontal direction, hits the...
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