A rod of mass M and length l moves across a frictionless surface with a speed v. It hits a stationary blob of mass m on one end of the board and sticks, causing the rod and blob to rotate as the systems continues traveling across the frictionless surface. (a) What is the new center of mass with respect to the original center of mass? (b) What is the angular velocity in terms of the center of mass (i.e., leave the center of mass as a variable, xcm)? Below shows a bird’s eye view.

A rod of mass M and length l moves across a frictionless surface with a speed v. It hits a stationary blob of mass m on one end of the board and sticks, causing the rod and blob to rotate as the systems continues traveling across the frictionless surface. (a) What is the new center of mass with respect to the original center of mass? (b) What is the angular velocity in terms of the center of mass (i.e., leave the center of mass as a variable, xcm)? Below shows a bird’s eye view.