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A person is sitting with one leg outstretched and stationary, so that it makes a

ID: 2029674 • Letter: A

Question

A person is sitting with one leg outstretched and stationary, so that it makes an angle of 30.0° with the horizontal, as the drawing indicates. The weight of the leg below the knee is 33.5 N, with the center of gravity located below the knee joint. The leg is being held in this position because of the force M applied by the quadriceps muscle, which is attached 0.100 m below the knee joint (see the drawing). obtain the magnitude of M. Knee joint 25.0 0.100 m 30 0.150 m 30.0 Number Units the tolerance is +/-296

Explanation / Answer

leg = FWeight d

leg = 33.5N * cos30º*0.25

leg = 7.252Nm

muscle = Fmuscle d

muscle = M * sin25º 0.100

muscle = 0.0423*M

leg = muscle

7.252Nm = 0.0423*M

M = 171.442N

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