On a frictionless table, a $0\mathrm{.}78$ kg glob of clay strikes a uniform $0\mathrm{.}84$ kg bar perpendicularly at a point $0\mathrm{.}22$ m from the center of the bar and sticks to it$.$ If the bar is $0\mathrm{.}82$ m long and the clay is moving at $9\mathrm{.}50$ m$/$s before striking the bar, what is the final speed of the center of mass? M m v b L $10.[3$pt$]$ At what angular speed does the bar$/$clay system rotate about its center of mass after the impact?