For this instant calculate the magnitudes of the force F and torque M

AI Thread Summary
The discussion focuses on calculating the magnitudes of force F and torque M at pin E in a parallelogram linkage system. The system involves a 6.8-kg bar EF with specified angular acceleration and velocity at a certain angle. Participants suggest starting by determining the motion characteristics of point A and comparing them to point E. It is noted that only gravitational force (mg) is relevant for solving the problem, while other forces labeled in the provided image are deemed unnecessary. The conversation emphasizes the importance of understanding the motion dynamics to approach the calculations effectively.
Northbysouth
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Homework Statement


The parallelogram linkage shown moves in the vertical plane with the uniform 6.8-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 58°, the links have an angular acceleration and an angular velocity of 6.6 rad/s2 and 2.0 rad/s, respectively. For this instant calculate the magnitudes of the force F and torque M supported by the pin at E.

I have attached an image of the question

Homework Equations





The Attempt at a Solution



On the attached image I've added in red what I believe that forces acting on the system are. But aside from this I'm unsure how else to begin on this problem. I suspect that a normal and tangent coordinate system may be beneficial here but I'm not sure where best to place the origin of the system.

Any advice would be appreciated.
 

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Northbysouth said:

Homework Statement


The parallelogram linkage shown moves in the vertical plane with the uniform 6.8-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 58°, the links have an angular acceleration and an angular velocity of 6.6 rad/s2 and 2.0 rad/s, respectively. For this instant calculate the magnitudes of the force F and torque M supported by the pin at E.

I have attached an image of the question

Homework Equations



The Attempt at a Solution



On the attached image I've added in red what I believe that forces acting on the system are. But aside from this I'm unsure how else to begin on this problem. I suspect that a normal and tangent coordinate system may be beneficial here but I'm not sure where best to place the origin of the system.

Any advice would be appreciated.
attachment.php?attachmentid=58088&d=1366596732.png

Except for mg, the forces you have labeled are irrelevant for solving this problem.


First: Find the motion (velocity and acceleration) of point A at the instant indicated.

How does that compare to the velocity and acceleration of point E ?
 
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