A uniform cube of mass m and edge a moves on a horizontal surface along the positive x-axis, with initial velocity `v_(0)`. Then

A uniform solid sphere of mass m and radius r = 3m is projected along a rough horizontal surface with the initial velocity v_(0) = 6m//s and angular omega_(0) velocity as shown in the figure. If the sphere finally comes to complete rest then angular velocity is x rad/s. Find x.

In the adjacent figure, a uniform cube of mass m and edge l=2m is lying at rest an a rough horizontal surface. A small ball of mass m hits the cbe at its top edge with horizontal speed v_(0) and sticks to it. Friction is so large that the cube can rotate about the edge 'O' without sliding. Calculate the minimum value of v_(0) ( in m/s) so that the cube will topple. Ignore any loss of energy due to friction at the edge O and take sqrt(2)-1=0.4 .

In the adjacent figure, a uniform cube of mass m and edge l=2m is lying at rest an a rough horizontal surface. A small ball of mass m hits the cbe at its top edge with horizontal speed v_(0) and sticks to it. Friction is so large that the cube can rotate about the edge 'O' without sliding. Calculate the minimum value of v_(0) ( in m/s) so that the cube will topple. Ignore any loss of energy due to friction at the edge O and take sqrt(2)-1=0.4 .

A block of mass m moves on a horizontal rough surface with initial velocity v . The height of the centre of mass of the block is h from the surface. Consider a point A on the surface.

A block of mass m moves on a horizontal rough surface with initial velocity v . The height of the centre of mass of the block is h from the surface. Consider a point A on the surface.

A body of mass m is moving with constant velocity V on a horizontal surface. What is the force on the table ?

A small smooth disc of mass m and radius moving with an initial velocity 'v' along the positive x- axis collided with a big disc of mass 2m and radius 2r which was initially at rest with its centre at origin as shown in figure. If the coefficient of restitution is 0 then velocity of larger disc after collision is