Finding the magnitude of a couple

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    Couple Magnitude
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Discussion Overview

The discussion revolves around a homework problem involving the calculation of the magnitude of a couple acting on a uniform steel plate welded to a shaft. Participants are exploring the conditions under which the system is in equilibrium, specifically focusing on the relationship between the angle θ and the magnitude of the couple M.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant notes the need for the system to be equivalent to zero, indicating that the sum of forces and moments must equal zero.
  • Another participant questions the significance of the weight of the plate in the context of the problem.
  • A suggestion is made to derive the equation for the sum of moments along the axis EF and set it to zero as a starting point for solving the problem.
  • There is a request for clarification regarding the variable θ and the provision of a diagram to aid understanding.

Areas of Agreement / Disagreement

Participants appear to agree on the necessity of setting up equations for equilibrium, but there is no consensus on the specific approach or the role of the weight of the plate in the calculations. The discussion remains unresolved regarding the best method to proceed.

Contextual Notes

There are indications of missing assumptions, particularly regarding the interpretation of the weight of the plate and its impact on the moment calculations. The role of the angle θ in the equations is also not fully clarified.

Heat
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Homework Statement



The 140-lb uniform steel plate ABCD is welded to shaft EF and is maintained in the position shown by the couple M. Knowing that collars prevent the shaft from sliding in the bearings and that the shaft lies in the yz plane, plot the magnitude M of the couple as a function of θ for 0<= θ<=90.

http://img378.imageshack.us/my.php?image=figurefz3.jpg"

2. The attempt at a solution

From what I understand, this problem requires a system equivalent to zero.
Sum of F = 0
Sum of M (along EF) = 0

I am having problems setting/getting started on this problem. :confused:
 
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What is \theta? A diagram might be useful.
 
I uploaded the pic, just click on the word 'diagram'. :)
 
Heat, do you understand why they are giving you the weight of the plate? and yes you need to find the equation of sum of M along the axis EF and equal it to 0.

Start by setting the equation.
 

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