Tendon-stretching exercises. As part of an exercise program, a 75 kg person does toe raises in which he raises his entire body weight on the ball of one foot, as shown in Figure 11.39 . The Achilles tendon pulls straight upward on the heel bone of his foot. This tendon is 25 cm long and has a cross-sectional area of 78 mm 2 and a Young’s modulus of 1470 MPa. (a) Make a free-body diagram of the person’s foot (everything below the ankle joint). You can ignore the weight of the foot. (b) What force does the Achilles tendon exert on the heel during this exercise? Express your answer in newtons and in multiples of his weight. (c) By how many millimeters does the exercise stretch his Achilles tendon? Figure 11.39 Problem 62.
Tendon-stretching exercises. As part of an exercise program, a 75 kg person does toe raises in which he raises his entire body weight on the ball of one foot, as shown in Figure 11.39 . The Achilles tendon pulls straight upward on the heel bone of his foot. This tendon is 25 cm long and has a cross-sectional area of 78 mm 2 and a Young’s modulus of 1470 MPa. (a) Make a free-body diagram of the person’s foot (everything below the ankle joint). You can ignore the weight of the foot. (b) What force does the Achilles tendon exert on the heel during this exercise? Express your answer in newtons and in multiples of his weight. (c) By how many millimeters does the exercise stretch his Achilles tendon? Figure 11.39 Problem 62.
Tendon-stretching exercises. As part of an exercise program, a 75 kg person does toe raises in which he raises his entire body weight on the ball of one foot, as shown in Figure 11.39. The Achilles tendon pulls straight upward on the heel bone of his foot. This tendon is 25 cm long and has a cross-sectional area of 78 mm2 and a Young’s modulus of 1470 MPa. (a) Make a free-body diagram of the person’s foot (everything below the ankle joint). You can ignore the weight of the foot. (b) What force does the Achilles tendon exert on the heel during this exercise? Express your answer in newtons and in multiples of his weight. (c) By how many millimeters does the exercise stretch his Achilles tendon?
Biceps muscle. A relaxed biceps muscle requires a force of 25.0 N for an elongation of 3.0 cm; under maximum tension, the same muscle requires a force of 500 N for the same elongation. Find the Young modulus for the muscle tissue under each of these conditions if the muscle can be modeled as a uniform cylinder with an initial length of 0.200 m and a cross-sectional
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Tendon-Stretch ing Exercises.
As part of an exercise program, a 75-kg person does toe raises in which he raises his entire body weight on the ball of one foot (Fig. P11.59). The Achilles tendon pulls straight upward on the heel bone of his foot. This tendon is 25 cm long and has a cross-sectional area of 78 mm^2 and a Young’s modulus of 1470 MPa. (a) Draw a free-body diagram of the person’s foot (everything below the ankle joint). Ignore the weight of the foot. (b) What force does the Achilles tendon exert on the heel during this exercise? Express your answer in newtons and in multiples of his weight. (c) By how many millimeters does the exercise stretch his Achilles tendon?
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