The parallelogram linkage shown moves in the vertical plane with the uniform 8-kg bar EF...

The parallelogram linkage shown moves in the vertical plane with the uniform 8-kg bar EF attached to the plate at E by a pin which is welded both to the plate and to the bar. A torque (not shown) is applied to link AB through its lower pin to drive the links in a clockwise direction. When θ reaches 60° the links have an angular acceleration and an angular velocity of 6 rad/s² and 3 rad/s, respectively. For this instant calculate the magnitudes of the force F and torque M supported by the pin at E.