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?
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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BIO
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?
Transcribed Image Text:11.59 • BIO 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 (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? 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?
Figure P11.59
Achilles
-Tibia
tendon-
Ankle
joint
K4.6*12.5
-12.5-
cm
cm
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