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

AI Thread Summary
The discussion focuses on calculating the force exerted by the bicep (F) in a human forearm scenario, where the forearm is in equilibrium with a 60 N weight and an 18 N forearm weight. The moments about the elbow are set up using the equation for equilibrium of moments, equating clockwise and anticlockwise moments. The calculations show that the sum of the moments from the weights equals the moment from the bicep force. The final result indicates that the bicep force F is approximately 620.6 N, confirming the calculations made by the participants. This approach effectively illustrates the principles of torque and equilibrium in biomechanics.
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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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