Equilibrium in the Human Body using Torque

AI Thread Summary
The discussion revolves around calculating the force exerted by the deltoid muscles when Arnold Schwarzenegger lifts a person weighing 650 N. The torque equation considers the weight of the arm and its center of gravity, leading to a calculated force of approximately 12.386 kN for the deltoid muscles. Participants engage in detailed torque calculations, factoring in angles and distances from the shoulder joint. The analysis highlights the balance of forces necessary for equilibrium in this lifting scenario. Overall, the discussion emphasizes the application of physics principles to understand human biomechanics in extreme situations.
kemcco1955
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In the movie Terminator, Arnold Schwarzenegger lifts someone up by the neck and, with both arms fully extended and horizontal, holds the person off the ground. If the person being held weighs 650 N, is 60 cm from the shoulder joint, and Arnold has an anatomy analogous to that in the figure below, what force must each of the deltoid muscles exert to perform this task? [Hint: The weight of the arm is 30.0 N and its center of gravity is at the elbow joint, 27.5 cm from the shoulder joint.]

Picture of the arm: http://s935.photobucket.com/albums/ad199/kemcco1955/?action=view&current=Physics.gif&newest=1

So far:Torque = Fm(sin15)(.12) - (650)(.6) - (30)(.275)
= Fm(sin15)(.12) – 398.25
Fm = 12822.67

Torque = Fsy+(30)(.155) + (650)(.48)-Fm(sin15)(.12)
Fsy = 81.6

Fx = (12822.67)(cos15) = 12385.75
Fs^2 = (12385.75)^2 + (81.6)^2 = 12386 N = 12.386 kN
 
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Homework? There's a separate section for that, I think.
 
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