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The upper leg muscle (quadriceps) exerts a force of 1150 N, which is carried by a tendon over the kneecap (the patella) at the angles shown in Figure 5.43. Find the magnitude and direction of the force exerted by the kneecap on the upper leg bone (the femur).  N ° (counter-clockwise from an axis directed to the left)

Question

The upper leg muscle (quadriceps) exerts a force of 1150 N, which is carried by a tendon over the kneecap (the patella) at the angles shown in Figure 5.43. Find the magnitude and direction of the force exerted by the kneecap on the upper leg bone (the femur).
  N
 ° (counter-clockwise from an axis directed to the left)

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Step 1

First resolve the force in x and y direction:

Fo
55
F
75
|
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Fo 55 F 75 |

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Step 2

In x- direction:

F F cos55-Fcos 75°
F1150cos55° -1150 cos75
F -957.25 N
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F F cos55-Fcos 75° F1150cos55° -1150 cos75 F -957.25 N

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Step 3

In y- direct...

F F, sin 55-Fsin 75°
F 1150sin 55 -1150 sin 75°
F =168.78 N
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F F, sin 55-Fsin 75° F 1150sin 55 -1150 sin 75° F =168.78 N

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