Systems of Part...

When a mass is rotating in a plane about a fixed point, its angular momentum is directed along

According to the theorem of parallel axes I = I_cm + Mx², the graph between I and x will be

Which of the following statement regarding the angular speed about the instantaneous axis (passing through the centre of mass) is correct

A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is K. If radius of the ball be R, then the friction of total energy associated with its rotational energy will be

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

The M.I. of a body abut the given axis is 1.2 kg × m² initially the body is at rest. In order to produce a rotational kinetic energy of 1500 J, an angular acceleration of 25 rad/sec² must be applied about that axis for duration of

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

When a sphere of moment of inertia I about its centre of gravity and mass \'m\' rolls from rest down an inclined plane without slipping, its kinetic energy is

A thin hollow cylinder open at both ends
(i) Sliding without rolling
(ii) Rolls without slipping, with the same speed
The ratio of kinetic energy in the two cases is

If \'I\' is the moment of inertia of a body and \'ω\' is its angular velocity, then its rotational kinetic energy is