Dogs—like many animals—stand and walk on their toes. A photo of the rear foot of

Question

Dogs—like many animals—stand and walk on their toes. A photo of the rear foot of a dog is shown in the left figure; the right figure shows the bones of the leg and foot, along with relevant distances. The colored element corresponds to your foot, the connection with the leg corresponds to your ankle. The Achilles tendon pulls upward on the end of the foot, along a line 4.0 cm from the long bones of the lower leg. What is the force provided by the tendon if a 20 kg dog is supporting ¼ of its weight on one rear foot?

edit: added picture

Explanation / Answer

W = weight = 20 x 9.8 = 196 N

F = force applied

using equilibrium of torque

F (0.04) = (W/4) (0.055)

F (0.04) = (196/4) (0.055)

F = 67.4 N

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