Two bodies of masses `m_1 and m_2` are connected byh a ight string passing over a smooth light pulley fixed at the end of an inclined plane.the mass `m_1` lies on the inclined plne nd `m_2` bags vertically.The system is at rest.Find the angle of the inclination of the inclined plane and the force exerted by the inclined plane on the body of mass `m_1`.

Two bodies with masses m_1 and m_2 , (m_1>m_2) are joined by a massless string passing over a fixed pulley.The downward acceleration of mass m_1 is :

A body of mass m slides down on an inclined plane and reaches the bottom with speed v .If the same ass were in the form of a ring which rolls down.The same inclined plane,then the velocity of the ring on reaching the bottom would be :

Two bodies of mass m_1 andm_2(>m_1) have equal kinetic energies. Which body possesses greater linear momentum.

Two particles of equal masses m and m are connected by a light string of length 2l. A constant force F is applied continuously at the mid-point of the string, always along the perpendicular bisector of the straight line joining the two particles. Show that when the distance between the two particles is x, the acceleration of the particle is a = F/m = (x)/((1^2 - x^2) ^(1//2)

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 :- How far will the cylinder go up the plane?

A cubical block rests on an inclined plane with four edges horizontal.If mu = 1/sqrt3 determine the angle when the block just slides down the plane.

Two bodies of mass m_1 andm_2(>m_1) have equal linear momentum. Which body possesses greater kinetic energy?

A simple pendulum of length l and with a bob of mass m is moving along a ricular are of anle theta in a vertical plane.A sphere of mass m is placed at the end of the circle.What momentum will be given to the sphere by the moving bob?

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 :- How long will it take to return to the bottom?