Forces in 2D Video Lessons

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Problem: The upper leg muscle (quadriceps) exerts a force of 1250 N, which is carried by a tendon over the kneecap (the patella) at the angles shown in Figure 9.38. Find the direction and magnitude of the force exerted by the kneecap on the upper leg bone (the femur).

FREE Expert Solution

Vector Magnitude:  

|A|=Ax2+Ay2

Vector Direction:

tanθ=AyAx

Vector Components:

Ax=|A| cos θAy=|A| sin θ

The component of the force in x-direction is:

Fx = (1250)cos(55°) + (1250)cos(75°) = 1040N

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Problem Details

The upper leg muscle (quadriceps) exerts a force of 1250 N, which is carried by a tendon over the kneecap (the patella) at the angles shown in Figure 9.38. Find the direction and magnitude of the force exerted by the kneecap on the upper leg bone (the femur).

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Based on our data, we think this problem is relevant for Professor Dubey's class at UCF.