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.]