Forces in achilles and foot bone

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SUMMARY

The discussion focuses on calculating the forces acting on the Achilles tendon and the lower leg bone when a person elevates themselves on the ball of one foot. The person has a mass of 80 kg, and the relationship between the lengths D and d is established, with D being twice as long as d. The key equations used are the force equilibrium equation (FB + FT - m*g = 0) and the moment equilibrium equation (FB*D + FT*(D+d) = 0). A correction is noted regarding the moment equation, which is crucial for accurately determining the tension in the Achilles tendon (FT) and the force exerted by the lower leg bone (FB).

PREREQUISITES
  • Understanding of force equilibrium and moment equilibrium principles
  • Familiarity with basic physics concepts related to tension and forces
  • Knowledge of the right-hand rule for determining moments
  • Ability to model physical systems, such as the foot, as beams
NEXT STEPS
  • Review the principles of static equilibrium in physics
  • Study the application of the right-hand rule in mechanics
  • Learn about beam modeling techniques in structural analysis
  • Explore the biomechanics of the Achilles tendon and its role in human movement
USEFUL FOR

This discussion is beneficial for physics students, biomechanics researchers, and anyone interested in understanding the forces acting on the human foot and the mechanics of the Achilles tendon during movement.

tristanmagnum
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Homework Statement


The Achilles tendon is attached to the rear of the foot as shown in (Figure 1) . A person elevates himself just barely off the floor on the "ball of one foot." Assume the person has a mass of 80kg and D is twice as long as d.

a:Find the tension FT in the Achilles tendon (pulling upward).
b:Find the (downward) force FB exerted by the lower leg bone on the foot.

http://session.masteringphysics.com/problemAsset/1706786/4/GIANCOLI.ch09.p34.jpg

Homework Equations



FB + FT -m*g = 0 [Force Equilibrium]
FB*D + FT*(D+d) = 0 [Moment Equilibrium]

i think


The Attempt at a Solution



not sure what to do because there doesn't seem to be enough info.
 
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Model the foot as a beam with the end opposite of the tendon as a cantilever. There is plenty of info to solve the problem. Unfortunately your moment equation is incorrect which is causing problems. And remember to use the right hand rule.
 

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