Questions in rotational-motion

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A solid sphere, a solid cylinder, a disc and a ring are rolling down an inclined plane. Which of these bodies will reach the bottom simultaneously
A ball of radius 11 cm and mass 8 kg rolls from rest down a ramp of length 2m. The ramp is inclined at ${{35}^{o}}$ to the horizontal. When the ball reaches the bottom, its velocity is (sin 35o = 0.57)
From an inclined plane a sphere, a disc, a ring and a shell are rolled without slipping. The order of their reaching at the base will be
A solid cylinder 30 cm in diameter at the top of an inclined plane 2.0 m high is released and rolls down the incline without loss of energy due to friction. Its linear speed at the bottom is
A cylinder of mass M and radius R rolls on an inclined plane. The gain in kinetic energy is
A disc of radius R is rolling down an inclined plane whose angle of inclination is $\theta $, Its acceleration would be
A solid cylinder (i) rolls down (ii) slides down an inclined plane. The ratio of the accelerations in these conditions is
The acceleration of a body rolling down on an inclined plane does not depend upon
A ring, a solid sphere, a disc and a solid cylinder of same radii roll down an inclined plane, which would reach the bottom in the last
A ring is rolling on an inclined plane. The ratio of the linear and rotational kinetic energies will be

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