Question

When you bend your knee, the quadriceps muscle is stretched. This increases the tension in the quadriceps tendon attached to your kneecap (patella), which, in turn, increases the tension in the patella tenson that attaches your kneecap to your lower leg bone (tibia). Simultaneously, the end of your upper leg bone (femur) pushes outward on the patella. See the diagram. In the quadriceps and patellar tendon let tension = T = 60N.

A) What are the x- and y- components of the force exerted by the femur on the patella?

Quadriceps T tendon 27うtendon Patella Femur Patcllar tendon Tibia

B) What is the magnitude of the force, and its direction?

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Answer #1

∑F(horiz) = 0
Fx = 60 cos 42 = 44.58 N

∑F(vert) = 0,
Fy = 60 - 60 sin 42 = 60 - 40.148 = 19.85 N

F = √ Fh² + Fv² = √ 44.58² + 19.85² = 48.8 N

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