35. BIO The large quadriceps Quadriceps Tendon muscle in the upper leg ter- mina

Question

35. BIO The large quadriceps Quadriceps Tendon muscle in the upper leg ter- minates at its lower end in a tendon attached to the upper end of the tibia (Fig. P8.35a). The forces on the lower leg when the leg is extended are modeled as in Figure P8.35b, where T is the force of ten- sion in the tendon, w is the force of gravity acting on the lower leg, and F is the force of gravity acting on the foot. Find T when the ten- Tibia 25.0% T don is at an angle of 25.0° with the tibia, assuming that w = 30.0 N, F= 12.5 N, and the leg is extended at an b angle of 40.0° with the ver- tical. Assume that the center of gravity of the lower leg is at its center and that the tendon attaches to the lower leg at a point one-fifth of the way down the leg. Figure P8.35

Explanation / Answer

balancing moment about the upper end of lower end,

M = (L/2 w sin40) + (L F sin40) - (L/5 T sin25) = 0

(30/2) sin40 + (12.5 sin40) = T sin25 / 5

T = 209 N ........Ans

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