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A young girl sits at the edge of a dock by the bay, dipping her feet in the wate

ID: 2295954 • Letter: A

Question

A young girl sits at the edge of a dock by the bay, dipping her feet in the water. At the instant shown in the figure(Figure 1) , she holds her lower leg stationary with her quadriceps muscle at an angle of 39 ? with respect to the horizontal.




Use the information given in the figure, plus the fact that her lower leg has a mass of 3.9kg , to determine the magnitude of the force, FQ, exerted on the lower leg by the quadriceps.


Express your answer using two significant figures.


FQ = ??? N

Knee joint 29° 12 cm Lower leg cm 39°

Explanation / Answer

I summed up the torques in the system using torque = rFsin(theta) and then solved for FQ.

torque = (.12m)FQsin(29) - (.35m)(3.9kg)(9.8)sin(51) = 0

Simple algebra from there.

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