The biomechanics of elbow extension

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SUMMARY

The discussion centers on the biomechanics of elbow extension, specifically analyzing the forces involved in the movement. The formula presented, ๐น๐‘ƒ๐‘ฅ = 93.6650N sin (85 โˆ’ 90) + 28.11N sin(180 โˆ’ 85 โˆ’ 79), results in a calculated force of ๐น๐‘ƒ๐‘ฅ = -0.4154 N. Participants emphasize the importance of considering torques in addition to forces and suggest a more detailed analysis of the shoulder joint's role in elbow extension mechanics.

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  • Understanding of basic biomechanics principles
  • Familiarity with force and torque calculations
  • Knowledge of muscle force dynamics
  • Basic anatomy of the shoulder and elbow joints
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thegoose
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Homework Statement
I noticed that when I do a calculation of the form 85-90 it gives a result of -5, which affects my overall answer by giving a negative number. I think I didn't correctly determine the angle of my muscle strength. Would it be possible for this angle to be 0ยฐ? So, by doing the 85-0 calculation, we would get a positive number.
Relevant Equations
ฮฃ๐นโƒ— = 0

X=

ฮฃ๐น๐‘ฅ = 0

โˆ’๐น๐‘ƒ๐‘ฅ + ๐น๐‘€ sin (๐›ฝ โˆ’ 90ยฐ) + ๐น๐‘’๐‘™ sin (180 โˆ’ ๐›ฝ โˆ’ ๐œƒ) = 0

๐น๐‘ƒ๐‘ฅ = ๐น๐‘€ sin ( ๐›ฝ โˆ’ 90ยฐ) +๐น๐‘’๐‘™ sin(180 โˆ’ ๐›ฝ โˆ’ ๐œƒ)
๐น๐‘ƒ๐‘ฅ = 93.6650N sin (85 โˆ’ 90) + 28.11N sin(180 โˆ’ 85 โˆ’ 79)

Fpx= -8.16344N +7.74816N

๐น๐‘ƒ๐‘ฅ = -0.4154 Nโ†
IMG_0116.jpg
 
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Please define all your variables.
I assume FM means the force exerted by a muscle, but it seems to be exerted directly down at the shoulder pivot, which is not going to achieve anything. You need to analyse torques, not just forces, and consider the shoulder joint in more detail.
 
Last edited:
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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