A Uniform Sphere Of Mass M And Radius R Is Placed On A Rough Horizontal Surface (Figure)

A uniform sphere of mass m and radius R is placed on a rough horizontal surface (figure) … only a translational motion, looses…


Mass of the sphere = m
Radius = R
h = height from the floor
The sphere will roll without slipping when

ω = V/R
where, v is linear velocity and to is angular velocity of the sphere.
Now, angular momentum of sphere, about centre of mass [We are applying conservation of angular momentum just before and after struck.]