System of Parti...

A solid sphere of mass 1 kg, radius 10 cm rolls down an inclined plane of height 7m. The velocity of its centre as it reaches the ground level is

A cylinder rolls down an inclined plane of inclination 30° the acceleration of the cylinder is

If a hollow cylinder and a solid cylinder are allowed to roll down an inclined plane which will take more time to reach the bottom

A body is rolling down in an inclined plane. Its translational and rotational kinetic energies are equal. The body is a

A ring, solid sphere and a disc are rolling down from the top of same height, and then the sequence to reach on surface is

A solid cylinder 30 cm in diameter at the top of inclined plane 2.0 m high is released and rolls down the incline without loss of energy due to friction. Its linear speed at bottom is

A solid sphere, a hollow sphere, and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. The maximum acceleration down the plane is for (no rolling)

A body is rolling without slipping on a horizontal plane. The rotational energy of the body is 40% of the total kinetic energy. Identify the body.

The ratio of rotational and translatory kinetic energies of a sphere is

A solid spherical ball rolls on an inclined plane without slipping. The ratio of rotational and total energy is

A ring of radius 0.5 m and mass 10 kg is rotating about its diameter with angular velocity of 20 rad/s. Its kinetic energy is

A swimmer while jumping into water from a height easily forms a loop in the air, if

The moment of momentum is called

A one kg ball rolling on a smooth horizontal surface at 20m\(s^{-1}\) comes to the bottom of an inclined plane making an angle of 30° with the horizontal. Calculate K.E. of the ball when it is at the bottom of incline. How far up the incline will the ball roll? Neglect friction.

For which of the following does the centre of mass lie outside the body?

The net external torque on a system of particles about an axis is zero. Which of the following are compatible with it?

A solid sphere rotating about its diameter at an angular frequency \(\omega\) has rotational kinetic energy K. When it is cooled so that its radius reduces to \(\mathrm{\frac{1}{n}}\) of its original value, the new values of \(\omega\) and K become \(\omega '\) and \(K'\) respectively. then

A wheel of mass 10 kg has moment of inertia of \(160kgm^2 \) about its own axis the radius of gyration will be

A ring of mass m and radius r is melted and then molded into a sphere. The moment of inertia of the sphere will be