3. Please show every step to receive rating! The large quadriceps muscle in the

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3. Please show every step to receive rating!

The large quadriceps muscle in the upper leg terminates at its lower end in a tendon attached to the upper end of the tibia (Figure a).The forces on the lower leg when the leg is extended are modeled as in Figure b, where T is the force in the tendon, Fg,leg is the gravitational force acting on the lower leg, and Fg,foot is the gravitational force acting on the foot. Find T when the tendon is at an angle of phi = 25.0 dgeree with the tibia, assuming fg,leg = 37.8 N, Fg,foot = 10.5 N, and the leg is extended at an angle theta = 40.0 degree with respect to the vertical. Also assume the center of gravity of the tibia is at its geometric center and the tendon attaches to the lower leg at a position one-fifth of the way down the leg.

Explanation / Answer

Ty = T*sin 25

Wy = Wsin 40 = 37.8*sin40 = 24.3 N

Fy = F*sin40 = 10.5*sin40 = 6.75 N

by condition of equalibrium

Tsin25*d/5 - 24.3*d/2 - 6.75*d = 0

T = 5* 18.9/sin25 = 223.61 N

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