Turning effects, moments, levers, determing the magnitude of the force

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Homework Help Overview

The discussion revolves around a problem involving moments and forces in the context of the human forearm in equilibrium. Participants are analyzing the forces acting on the forearm and the object held in the hand, specifically focusing on calculating the force exerted by the bicep.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss taking moments about the elbow and equating clockwise and anticlockwise moments. There are attempts to set up equations based on the forces and distances involved, with some expressing confusion about the calculations.

Discussion Status

Some participants have provided guidance on the approach to take, affirming that the method of summing moments is appropriate. There is a mix of attempts and calculations being shared, with no explicit consensus on the correctness of the final values yet.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can reference or the methods they can use. There is an emphasis on understanding the setup and relationships between the forces and distances involved.

lolyland
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The figure below shows a section of the human forearm in equilibrium.


The weight of the object in the hand is 60 N. The centre of gravity of this object is
32 cm from the elbow. The bicep provides an upward force of magnitude F. The distance between the line of action of this force and the elbow is 3.5 cm. The weight of the forearm is 18 N. The distance between the centre of gravity of the forearm and the elbow is 14 cm.
By taking moments about the elbow, determine the magnitude of the force F provided by the bicep.

(Diagram Attached)

I have attempted at the question
Ʃ of moment in clockwise = Ʃ of moment in anticlockwise
F1 x S1 + F2 x S2

F3 xS3

However, I am rather lost!
Any help would be great thanks!
 

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Start by writing down the moments about the elbow.
 
I have attempted at the question
Ʃ of moment in clockwise = Ʃ of moment in anticlockwise

You seem to have the write approach so not sure why you are lost.

Especially if you meant to write..

F1 x S1 + F2 x S2 = F3 x S3
 
My second attempt!

ƩMc=ƩMA
F1S1 + F2S2 =F3xS3
60 x 0.32 + 18x0.14 = F3 x 0.035
19.2 + 2.52 = 0.035 F3
22.72= 0.035 F3
21.62/0.035= F3
620.6 N = F3

I am hoping this is right!
 
That's what I make it.
 

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