During vigorous downhill hiking, the force on the knee cartilage(the medial and

Question

During vigorous downhill hiking, the force on the knee cartilage(the medial and lateral meniscus) can be up to eight times bodyweight. Depending on the angle of descent, this force can cause alarge shear force on the cartilage and deform it. The cartilage hasan area of about 11.0 cm^2 and a shearmodulus of 12.0 MPa If the hiker plus his pack have acombined mass of 113 kg (not unreasonable),and if the maximum force at impact is 8.00 times his bodyweight (which, of course, includes the weight of his pack) at anangle of 12.0 degree with the cartilage (seethe figure ), through what angle (in degrees) will his kneecartilage be deformed? (Recall that the bone below the cartilagepushes upward with the same force as the downwardforce.)

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