Statics force problem - Force required to be a minimum

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Discussion Overview

The discussion revolves around a statics problem involving the determination of a force (F1) required to minimize the resultant force acting on a bracket. Participants explore the implications of minimizing this force within the context of a homework problem.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant expresses confusion about the meaning of "minimum" in the context of the force required.
  • Another suggests computing the resultant force for various magnitudes of F1 to observe how it affects the resultant force, implying a trial-and-error approach.
  • A third participant proposes using calculus, specifically taking the derivative of the resultant force with respect to F1 and setting it to zero to find the minimum.
  • A later reply confirms the use of the derivative approach, indicating that the resultant force R is a function of F1 and hints at the use of the chain rule in the calculations.
  • One participant acknowledges understanding the approach after the discussion.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best method to find the minimum force, as different approaches are suggested and explored without resolution.

Contextual Notes

The discussion includes assumptions about the mathematical treatment of the resultant force and the applicability of calculus, which may depend on the specific definitions and conditions of the problem.

Who May Find This Useful

Students or individuals working on statics problems, particularly those involving optimization of forces in mechanical systems.

Sxq
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1. Homework Statement :
If the resultant force acting on the bracket is required to be a minimum, determine the magnitude of F1.

I understand how to solve problems like this, I just don't understand what it means when it says that the force is required to be a minimum. Any help would be great!

http://img40.imageshack.us/img40/8929/staticsproblem.png
 
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Compute the resultant force. Now try different F1 magnitudes to see if it increases or decreases the resultant force. See if something would minimize the resultant force.
 
A friend said that I should take the derivative (of what?), set it to 0, and find the minimum that way. Does that make any sense?
 
That's right, Sxq! Of R, the resultant. R is a function of F1; i.e., R(F1). Give it a try. Hint 1: Don't forget the chain rule. :wink:
 
Okay thanks!
I got it =p
 

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