Systems of Particles and Rotational Motion questions
1884 published questions with worked solutions.
- A circular platform is mounted on a vertical frictionless axle. Its radius is r=2 m and its moment of inertia is I=200 kg·m². It...
- A flywheel rotating about a fixed axis has a kinetic energy of 360 J when its angular speed is 30 rad s⁻¹. The moment of inertia...
- Four 2 kg masses are connected by 14 m spokes to an axle. A force of 24 N acts on a lever 12 m long, producing an angular...
- A mass of 10 kg is moving with a constant velocity of 0.5 ms⁻¹ parallel to the X-axis. The shortest distance of the mass from the...
- In a circular motion, the angle between a particle's linear momentum and its angular momentum is
- A spherical solid ball of 1 kg mass and radius 3 cm is rotating about an axis passing through its centre with an angular velocity...
- A ballet dancer spins with 2.8 rev s⁻¹ with her arms outstretched. When the moment of inertia about the same axis becomes 0.7I,...
- What torque will increase the angular velocity of a solid disc of mass 16 kg and diameter 1 m from zero to 120 rpm in 8 s?
- A solid cylinder moving with constant speed v_0 reaches the bottom of an incline of 30°. A hollow cylinder of the same mass and...
- A rupee coin, starting from rest, rolls down a distance of 0.75 m on an inclined plane at an angle of 30° with the horizontal....
- A hemispherical bowl of radius R is kept on a horizontal table. A small sphere of radius r (r R) is placed at the highest point...
- A thin metal disc of radius 0.25 m and mass 2 kg starts from rest and rolls down an inclined plane. If its rotational kinetic...
- A sphere and a hollow cylinder roll without slipping down two separate inclined planes and travel the same distance in the same...
- A solid sphere, a disc and a solid cylinder, all of the same mass, are made of the same material and allowed to roll down (from...
- An inclined plane makes an angle of 30° with the horizontal. A solid sphere rolling down this inclined plane from rest, without...
- A solid sphere rolls down without slipping on an inclined plane at angle 60° over a distance of 10 m. The acceleration (in ms⁻²)...
- A solid sphere rolls down two different inclined planes of the same height, but of different inclinations. In both cases,
- A wheel of mass 8 kg and radius 40 cm is rolling on a horizontal road with angular velocity 15 rad s⁻¹. The moment of inertia of...
- A marble and a cube have the same mass, starting from rest; the marble rolls without slipping while the cube slides...
- A solid cylinder (SC), a hollow cylinder (HC) and a solid sphere (S) of the same mass and radius are released simultaneously from...
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