Forces in achilles and foot bone

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In summary, the conversation discusses finding the tension in the Achilles tendon and the downward force exerted by the lower leg bone on the foot in a scenario where a person with a mass of 80kg elevates themselves on the "ball of one foot." The figure provided shows the attachment of the Achilles tendon to the rear of the foot. Equations for force and moment equilibrium are provided, but there is some uncertainty about how to approach the problem. The solution involves modeling the foot as a beam and using the right hand rule, and there is enough information to solve the problem.
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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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  • #2
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.
 

1. What are the most common forces acting on the Achilles and foot bones?

The most common forces acting on the Achilles and foot bones are gravity, muscular forces, and ground reaction forces. Gravity is responsible for pulling the body towards the ground, while muscular forces produced by the leg muscles help to move and stabilize the bones. Ground reaction forces are the forces exerted by the ground on the foot during activities such as walking and running.

2. How does the Achilles tendon help in force transmission?

The Achilles tendon is one of the strongest tendons in the body and plays a crucial role in force transmission. It connects the calf muscles to the heel bone and helps to transfer the forces generated by the muscles to the foot bones, allowing for movement and support during activities.

3. What is the role of the arch of the foot in force distribution?

The arch of the foot serves as a shock absorber and helps to distribute forces evenly across the foot. It also provides stability and support during weight-bearing activities. The arch works in conjunction with the Achilles tendon and other muscles to maintain the foot's structure and function during movement.

4. How do forces affect the risk of injury in the Achilles and foot bones?

Excessive or repetitive forces on the Achilles and foot bones can increase the risk of injury. This can happen when the muscles are not strong enough to withstand the forces, or when the forces are too high for the bones and tissues to handle. High-impact activities and sudden changes in direction can also put extra stress on these bones, increasing the risk of injury.

5. Can strengthening exercises help to prevent injuries to the Achilles and foot bones?

Yes, regular strengthening exercises can help to improve the strength and endurance of the muscles surrounding the Achilles and foot bones. This can help to better withstand the forces placed on these bones during daily activities and reduce the risk of injury. Stretching and proper warm-up can also help to prepare the muscles and bones for the forces they will encounter during physical activity.

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