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Find the tension in the Achilles tendon and the force that the tibia exerts on t

ID: 1264971 • Letter: F

Question

Find the tension in the Achilles tendon and the force that the tibia exerts on the ankle joint when a person who weighs 756 N supports himself on the ball of one foot. The normal force N = 756 N pushes up on the ball of the foot on one side of the ankle joint, while the Achilles tendon pulls up on the foot on the other side of the joint.

__________N

FAchilles = _________N Ftibia =

__________N

Find the tension in the Achilles tendon and the force that the tibia exerts on the ankle joint when a person who weighs 756 N supports himself on the ball of one foot. The normal force N = 756 N pushes up on the ball of the foot on one side of the ankle joint, while the Achilles tendon pulls up on the foot on the other side of the joint.

Explanation / Answer

As the foot in equilibrium net force and torque should be zero.


a)
Torque about a point through which F_Tibia passing = 0


-4.6*F_Achilies*sin(90) + N*12.8*sin(90) = 0

==> F_achilies = 756*12.8/4.6

= 2103.6 N

b) Fnet = 0

F_Achilies - F_Tibia + N = 0

==> F_Tibia = N + F_Achilie

= 756 + 2103.6

= 2859.6 N

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