Greatest Lever Arm: Calculating Force at Elbow Joint

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Homework Help Overview

The discussion revolves around determining the position that provides the greatest lever arm in the context of forces acting at the elbow joint, specifically related to a diagram provided by the original poster.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the nature of the force acting on the elbow joint, questioning how to represent the force direction and the concept of the lever arm. There is discussion about the distinction between the lever arm and the forearm itself, as well as the need to clarify which specific force's lever arm is being analyzed.

Discussion Status

The discussion is active, with participants providing insights into the direction of the force and its relationship to the lever arm. Some participants are clarifying the definitions and relationships between the forces and the lever arms, while others are questioning the assumptions made about which forces are relevant in the context of the problem.

Contextual Notes

There is a noted ambiguity regarding which force's lever arm is being sought, as multiple forces are present in the diagram. This has led to further questioning and clarification among participants.

NA19
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Homework Statement


The diagram is attached. It is asking which position has the greatest lever arm.

Homework Equations


The Attempt at a Solution


So, I know that the elbow is the fulcrum but what I'm struggling with is how to draw the force arrow. Where is the force coming from and where is it pointing? What is a good way to know where to draw the lever arm?
 

Attachments

  • mcat3.png
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The force comes from the contracting muscle. So look at the direction in which the connecting tissue from the muscle connects to the bone. The force will pull along this direction on the forearm. The lever arm is then the perpendicular distance to this direction.
 
So is the lever arm the forearm?
 
No. It is the perpendicular distance dropped from the fulcrum onto the line of action of the force.
 
So are the black lines that I drew correct for the line of force?
And the red for the lever arms?
 

Attachments

  • mcat3.png
    mcat3.png
    18.4 KB · Views: 702
The question should actually state explicitly for which force the lever arm is required. There are several forces in this diagram, but I am getting the impression its wants you to get the lever arm of the force of the weight held in the hand. The weight F acts downwards along the pink line in the first diagram and its lever arm is the orange L. If the lever arm of the force that the muscle is exerting on the forearm were required it would be the much shorter L in the second diagram.
 

Attachments

  • lever arm 1.jpg
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  • lever arm 2.jpg
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Last edited:

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