Archived Forces in achilles and foot bone

  • Thread starter Thread starter tristanmagnum
  • Start date Start date
  • Tags Tags
    Forces
AI Thread Summary
The discussion focuses on calculating the forces acting on the Achilles tendon and foot bone when a person elevates on the ball of one foot. The tension in the Achilles tendon (FT) and the downward force exerted by the lower leg bone (FB) need to be determined using force and moment equilibrium equations. Participants note that the moment equation provided is incorrect, which complicates the solution process. A suggestion is made to model the foot as a cantilever beam to better analyze the forces. Correct application of the right-hand rule is also emphasized for accurate calculations.
tristanmagnum
Messages
44
Reaction score
0

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.
 
Physics news on Phys.org
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.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...

Similar threads

Back
Top