The skate board negotiates the circular surface of radius `4.5 m` At `theta=45^(@)`, its speed of centre of mass is 6 m/s The comnined mas of skate board an dthe person is 70 kg and his centre of mass is `0.75 m` from the surface. The normal reaction between the surface and the skate board wheeol is

A boy of mass 50 kg is climbing a vertical pole at a constant speed. If coefficient of fricition between his palms and the pole is 0.75, then the normal reaction between him and the pole is ("take "=10m//s^(2))

A boy of mass 50 kg is climbing a vertical pole at a constant speed. If coefficient of fricition between his palms and the pole is 0.75, then the normal reaction between him and the pole is ("take g "=10m//s^(2))

A sphere of mass m rolls on a plane surface. Find its kinetic energy at an instant when its centre moves with speed v.

A sphere of mass m rolls on a plane surface.Find its kinetic energy t an instant when its centre moves with speed v.

A sphere of mass m rolls on a plane surface. Find its kinetic energy at an instant when its centre moves with speed v.

Two particles of mass 1 kg and 0.5 kg are moving in the same direction with speed of 2 m//s and 6 m/s respectively on a smooth horizontal surface. The speed of centre of mass of the system is

Two particles of mass 1 kg and 0.5 kg are moving in the same direction with speed of 2 m//s and 6 m/s respectively on a smooth horizontal surface. The speed of centre of mass of the system is

A solid sphere of mass 5 kg rolls on a plane surfaces. Find its kinetic energy at an instant when its centre moves with speed 4 m/s .

The earth is a homogeneous sphere of mass M and radius R. There is another spherical planet of mass M and radius R whose density changes with distance r from the centre as p=p_(0)r. (a) Find the ratio of acceleration due to gravity on the surface of the earth and that on the surface of the planet. (b) Find p_(0).