Questions in rotational-motion

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The total kinetic energy of a body of mass 10 kg and radius 0.5 m moving with a velocity of 2 m/s without slipping is 32.8 joule. The radius of gyration of the body is
The moment of inertia of a body about a given axis is 2.4 kg–m2. To produce a rotational kinetic energy of 750 J, an angular acceleration of 5 $rad/s^2$ must be applied about that axis for
A solid sphere of mass 500 gm and radius 10 cm rolls without slipping with the velocity 20cm/s. The total kinetic energy of the sphere will be
The ratio of rotational and translatory kinetic energies of a sphere is
A thin hollow cylinder open at both ends: (i) Slides without rotating (ii) Rolls without slipping, with the same speed. The ratio of kinetic energy in the two cases is
A spherical ball rolls on a table without slipping. Then the fraction of its total energy associated with rotation is
A body is rolling without slipping on a horizontal plane. If the rotational energy of the body is 40% of the total kinetic energy, then the body might be
A body of moment of inertia of $3kg-{{m}^{2}}$ rotating with an angular speed of 2 rad/sec has the same kinetic energy as a mass of 12 kg moving with a speed of
Ratio of kinetic energy and rotational energy in the motion of a disc is
A solid sphere is moving on a horizontal plane. Ratio of its transitional Kinetic energy and rotational energy is

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