Equilibrium in the Human Body using Torque

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SUMMARY

The discussion focuses on calculating the forces exerted by the deltoid muscles in a scenario where Arnold Schwarzenegger lifts a person weighing 650 N. Using torque equations, the required force from the deltoid muscles (Fm) is determined to be 12822.67 N. Additionally, the vertical force component (Fsy) is calculated as 81.6 N, leading to a resultant force (Fs) of approximately 12.386 kN. These calculations illustrate the application of torque principles in biomechanics.

PREREQUISITES
  • Understanding of torque and its calculations in physics
  • Basic knowledge of human anatomy, specifically muscle mechanics
  • Familiarity with trigonometric functions, particularly sine and cosine
  • Ability to interpret and manipulate force diagrams
NEXT STEPS
  • Study the principles of torque in biomechanics
  • Learn about the anatomy and function of the deltoid muscles
  • Explore advanced applications of trigonometry in physics problems
  • Investigate real-world examples of torque in sports and physical activities
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Students in physics and biomechanics, physical therapists, sports scientists, and anyone interested in the mechanics of human movement.

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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