Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- A proton of mass m collides elastically with a particle of unknown mass at rest. After the collision, the proton and the unknown...
- A particle of mass 'm' is moving with speed '2v' and collides with a mass '2m' moving with speed 'v' in the same direction. After...
- A thin smooth rod of length L and mass M is rotating freely with angular speed _0 about an axis perpendicular to the rod and...
- Moment of inertia of a body about a given axis is 1.5 kg m^2. Initially the body is at rest. In order to produce a rotational...
- A particle of mass m is moving along a trajectory given by x = x_0 + a _1t, y = y_0 + b _2t. The torque, acting on the particle...
- If the angular momentum of a planet of mass m, moving around the Sun in a circular orbit is L, about the center of the Sun, its...
- A man (mass = 50 kg) and his son (mass = 20 kg) are standing on a frictionless surface facing each other. The man pushes his son...
- An alpha-particle of mass m suffers 1-dimensional elastic collision with a nucleus at rest of unknown mass. It is scattered...
- Let the moment of inertia of a hollow cylinder of length 30 cm (inner radius 10 cm and outer radius 20 cm), about its axis be I....
- A particle of mass m is moving in a straight line with momentum p. Starting at time t = 0, a force F = kt acts in the same...
- The magnitude of torque on a particle of mass 1 kg is 2.5 Nm about the origin. If the force acting on it is 1 N, and the distance...
- To mop-clean a floor, a cleaning machine presses a circular mop of radius R vertically down with a total force F and rotates it...
- A homogeneous solid cylindrical roller of radius R and mass M is pulled on a cricket pitch by a horizontal force F. Assuming...
- A piece of wood of mass 0.03 kg is dropped from the top of a 100 m height building. At the same time, a bullet of mass 0.02 kg is...
- Mass per unit area of a circular disc of radius a depends on the distance r from its centre as (r) = A + Br. The moment of...
- A rod of length L has non-uniform linear mass density given by (x)=a+b ( x L )^2, where a and b are constants and 0 x L. The...
- Two particals of equal mass m have respective initial velocities u i and u ( i + j 2 ). They collide completely inelastically....
- A block of mass 1.9 kg is at rest at the edge of a table, of height 1m. A bullet of mass 0.1 kg collides with the block and...
- A uniform rod AB of mass 2 kg and length 30 cm at rest on a smooth horizontal surface. An impulse of force 0.2 Ns is applied to...
- The dimensional formula of angular impulse is:
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