Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- A shell of mass ‘M’ initially at rest suddenly explodes in three fragments. Two of these fragments are of mass ‘M/4’ each, which...
- A ball of mass ‘m’ falls from height ‘h’ on a floor for which the coefficient of restitution is ‘e’. After two rebounds, the...
- Two spheres of masses 2 kg and 4 kg are situated at the opposite ends of a wooden bar of length 9 m. Where will centre of mass of...
- A wooden block of mass ‘m’ moves with velocity ‘V’ and collides with another block of mass ‘4m’, which is at rest. After...
- Two masses ‘m_a’ and ‘m_b’ moving with velocities ‘V_a’ and ‘V_b’ opposite directions collide elastically. After the collision...
- A particle of mass ‘m’ collides with another stationary particle of mass ‘M’. A particle of mass ‘m’ stops just after collision....
- Three bodies P, Q and R have masses ‘m’ kg, ‘2m’ kg and ‘3m’ kg respectively. If all the bodies have equal kinetic energy, then...
- A wooden block of mass ‘m’ moves with velocity ‘V’ and collides with another block of mass ‘4m’, which is at rest. After...
- Three bodies each of mass 1 kg are situated at the vertices of an equilateral triangle of side 1 m. The xy-coordinates of centre...
- A wall is hit elastically and normally by ‘n’ balls per second. All the balls have the same mass ‘m’ and are moving with the same...
- Two masses ‘m_1’ and ‘m_2’ moving with velocities ‘v_1’ and ‘v_2’ in opposite directions collide elastically and after collision...
- A bullet is fired from the gun. It hits the solid block resting on a frictionless surface, gets embedded into it and both move...
- A sphere of mass ‘m’ moving with velocity ‘v’ collides head-on with another sphere of same mass which is at rest. The ratio of...
- A uniform rod of mass ‘M’ and length ‘L’ is suspended from the rigid support. A small bullet of mass ‘m’ hits the rod with...
- A door 1.2 m wide requires a force of 1 N to be applied perpendicular at the free end to open or close it. The perpendicular...
- A ball released from a certain height strikes the ground after 2 second. After bouncing from the ground it rises to a highest...
- In a system of two particles of masses ‘m_1’ and ‘m_2’, the second particle is moved by a distance ‘d’ towards the centre of...
- A block of mass ‘m’ collides with another stationary block of mass ‘2m’. The lighter block comes to rest after collision. If the...
- A ball at rest falls vertically on the ground from a height of 5m. The coefficient of restitution is 0.4. The maximum height of...
- A molecule of mass 'm' moving with velocity 'v' makes 5 elastic collisions with a wall of container per second. The change in...
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