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For the next two questions, consider the following model of an arm supporting a weight: tendon 1 Lo Zo d biceps tendon 2 -d
For the next two questions, consider the following model of an arm supporting a weight: tendon 1 Lo Zo d biceps tendon 2 -d A biceps muscle originates from the shoulder via tendon 1. It inserts into the lower arm via tendon 2. In its relaxed state, the biceps has a length LO = 197 mm, and each of the tendons have an unstretched length z0 = 23 mm and a diameter of 8 mm. Consider when a mass m1 = 20 kg is placed in the person's hand. The lower arm of mass m2 = 5.4 kg is of length d2 = 244 mm, and its centre of mass is located a distance d2/2 from the elbow. What is the force exerted by the biceps if tendon 2 inserts into the lower arm a distance d1 = 23 mm from the elbow? Round your answer to the nearest Newton. To exert this force, the biceps must contract, which in turn stretches both tendons. If the person's arm does not move when the weight is placed in the hand (i.e., the total length of the tendons and muscle, Lo + 2zo, remains constant), calculate the magnitude of the change in length of the biceps if the tendons have a Young's Modulus of 250 MPa. Report your answer in units of millimeters and round to the nearest tenths place.
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