A wad of sticky clay with mass "m" and a velocity vector is fired at a solid cylinder of mass "M" and radius "R" as in the figure. The cylinder is initially at rest and is mounted on a fixed horizontal axle that runs through its center of mass. The line of motion of the projectile is perpendicular to the axle and at a distance d<R from the center.
Find the angular speed of the system just after the clay stikes and sticks to the surface of the cylinder?
Is the mechanical energy of the clay-cylinder system constant in the process?
