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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 the bar. A torque is applied to link AB through its lower pin to drive the links in a clockwise direction. When theta reaches 60 degrees, 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 suppored by the pin at E.

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