Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc...
- Consider a two particle system with particles having masses m_1 and m_2. If the first particle is pushed towards the centre of...
- A force of -F k acts on O, the origin of the coordinate system. The torque about the point (1, -1)
- A thin circular ring of mass m and radius R is rotating about its axis with a constant angular velocity . Two objects each of...
- Four point masses, each of value m, are placed at the corners of a square ABCD of side . The moment of inertia through A and...
- A circular disc of radius R is removed from a bigger circular disc of radius 2R such that the circumferences of the discs...
- A round uniform body of radius R, mass M and moment of inertia 'I', rolls down (without slipping) an inclined plane making an...
- Angular momentum of the particle rotating with a central force is constant due to
- A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms^ -1 . The magnitude of its momentum is recorded as
- A block of mass 0.50 kg is moving with a speed of 2.00 m/s on a smooth surface. It strikes another mass of 1.00 kg and then they...
- Consider a uniform square plate of side ' a ' and mass ' m '. The moment of inertia of this plate about an axis perpendicular to...
- A thin uniform rod of length and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular...
- Statement-1 : Two particles moving in the same direction do not lose all their energy in a completely inelastic collision....
- A mass m hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass m and radius R....
- A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point...
- A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t^2) Newton (where t is measured in seconds) applied...
- The motor of an engine is rotating about its axis with an angular velocity of 100 rev ,min^ -1 . It comes to rest in 15 s, after...
- A wheel has a speed of 1200 revolutions per minute and is made to slow down at a rate of 4 rad ,s^ -2 . The number of revolutions...
- When a ceiling fan is switched off, its angular velocity falls to half while it makes 36 rotations. How many more rotations will...
- The centre of mass of system of particles does not depend upon
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