A hollow sphere of mass `M` lies on a rough horizontal plane when a particle of mass `m` traveling with speed `v` collides and sticks with it. If line of motion of the particle is at height `h` above the center of sphere, find `h` if the body rolls without slipping after collision (`m lt lt M`).

The sphere shown in figure lies on a rough plane when a particle of mass m travelling at a speed v_0 collides and sticks with it. If the line of motion of the particle is at a distance h above the plane, find a. the linear speed o the combined system just after the collision b. the angular speed of the system about the centre of the sphere just the collision c. the value of h for which the sphere starts pure rolling on the plane Assume that the mass M of the sphere is large compared to the mass of the particle so that the centre of mass of the combined system is not appreciably shifted from the centre of the sphere.

The sphere shown in figure lies on a rough plane when a particle of mass m travelling at a speed v_0 collides and sticks with it. If the line of motion of the particle is at a distance h above the plane, find a. the linear speed o the combined system just after the collision b. the angular speed of the system about the centre of the sphere just the collision c. the value of h for which the sphere starts pure rolling on the plane Assume that the mass M of the sphere is large compared to the mass of the particle so that the centre of mass of the combined system is not appreciably shifted from the centre of the sphere.

The sphere shown in figue lies on a rough plane when a particle of mass m travbelling at a speed v_0 collides and sticks with it. If the line of motion of the particle is at a distance h above the plane, find a. the linear speed o the combine dsystem just after teh collision b. the angular speed of the system about the centre of the sphere just the collistion c. the value of h for which the sphere starts pure rolling on the plane Assume that the mass M of the sphesre is large compared to teh mass of the partcle so that is large compared toteh mass of the particle so that teh centre of mass of the combined system is not appreciably shifted from the centre of the sphere.

Sphere of mass M and radius R is kept on a rough horizontal floor. A small particle of mass m, moving horizontally with velocity, collides with the sphere and sticks to it. Line of motion of particle before collision is at a heighth above the floor. Assume that mase of sphere is very large in comparison to particle so that we may assume that centre of mass of the combined system remains at the centre of the sphere after the collision. What will be the approximate velocity of combined system after the collision?

A particle of mass m moving with speed V collides eleastically with another particle of mass 2mFind speed of smaller mass after head on collision

A particle of mass m moving with speed V collides elastically with another particle of mass 2m. Find speed of smaller mass after head on collision

A solid sphere of mass M and radius R is hit by a cue at a height h above the centre C. for what value of h the sphere will rool without slipping ?

A solid sphere of mass M and radius R is hit by a cue at a height h above the centre C. for what value of h the sphere will rool without slipping ?