A coin slides down an inclined plane of inclination `phi` at a constant speed. Prove that if the coin is pushed up with a velocity u on that plane it can rise up to ` (u^(2))/(4 g "sin"phi)` .

A body is sliding down an inclined plane of inclination theta with a uniform velocity. If the body is projected with a velocity u along the plane upwards, show that it will ascend a distance u^2//4g sin theta along the plane.

A solid cylinder rolls up an inclined plane of angle of inclination 30^(@) . At the bottom of the inclined plane the centre of mass of the cylinder has a speed of 5 "m.s"^(-1) . The distance up to which the cylinder goes up the plane is

A disc of mass M and radius R is rolling without slipping down an inclined plane. Show that the acceleration of the centre of mass of the disc is (2)/(3) g sin theta . Given angle of inclination of the plane is theta and moment of inertia of the disc is (MR^(2))/(2) .

A disc of mass M and radius R is rolling without slipping down ay inclined plane. Show that the acceleration of the centre of mass of the disc is 2/3 g sin theta . Given, angle of inclination of the plane is theta and moment of inertia .of the disc is (MR^2)/2

A car of mass 500 kg is moving up along an inclined surface of slope 1/(25) at a constant speed of 72 km*h^(-1) . If the coefficient of friction between the road and the car wheel is 0.1 , find the power of the car engine (g= 9.8 m*s^(-2) ).

A body slides down an inclined plane after being released from rest from a height h and finally it describes a circle of radius r instead of travelling along a horizontal floor. For what minimum value of h , can the particle describe that motion ? Ignore friction.