Rod AB is attached to collars at its ends by ball-and-socket joints. If collar A moves upw...

Rod AB is attached to collars at its ends by ball-and-socket joints. If collar A moves upward with an acceleration of aA = {4k}ft/s2, determine the angular acceleration of rod AB and the magnitude of acceleration of collar B. Assume that the rod’s angular acceleration is directed perpendicular to the rod, and use the result of (Problem) for ωAB.

Problem

Rod AB is attached to collars at its ends by ball-and-socket joints. If collar A moves upward with a velocity of vA = {8k} ft/s, determine the angular velocity of the rod and the speed of collar B at the instant shown. Assume that the rod’s angular velocity is directed perpendicular to the rod.