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

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SUMMARY

The discussion focuses on calculating the magnitudes of the force F and torque M at pin E of a parallelogram linkage system with a 6.8-kg bar EF. At an angle θ of 58°, the system exhibits an angular acceleration of 6.6 rad/s² and an angular velocity of 2.0 rad/s. The primary advice given is to first determine the motion (velocity and acceleration) of point A and compare it to that of point E to solve for the required forces. The relevance of the forces labeled by the user is questioned, emphasizing the importance of gravitational force (mg) in the analysis.

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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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