BIO CALC Refer to the discussion of holding a dumbbell in Example 11.4 (Section 11.3). The maximum weight that can be held in this way is limited by the maximum allowable tendon tension T (determined by the strength of the tendons) and by the distance D from the elbow to where the tendon attaches to the forearm, (a) Let T max represent the maximum value of the tendon tension. Use the results of Example 11.4 to express w max (the maximum weight that can be held) in terms of T max , L , D , and h . Your expression should not include the angle θ . (b) The tendons of different primates are attached to the forearm at different values of D . Calculate the derivative of w max with respect to D , and determine whether the derivative is positive or negative, (c) A chimpanzee tendon is attached to the forearm at a point farther from the elbow than for humans. Use this to explain why chimpanzees have stronger arms than humans. (The disadvantage is that chimpanzees have less flexible arms than do humans.)
BIO CALC Refer to the discussion of holding a dumbbell in Example 11.4 (Section 11.3). The maximum weight that can be held in this way is limited by the maximum allowable tendon tension T (determined by the strength of the tendons) and by the distance D from the elbow to where the tendon attaches to the forearm, (a) Let T max represent the maximum value of the tendon tension. Use the results of Example 11.4 to express w max (the maximum weight that can be held) in terms of T max , L , D , and h . Your expression should not include the angle θ . (b) The tendons of different primates are attached to the forearm at different values of D . Calculate the derivative of w max with respect to D , and determine whether the derivative is positive or negative, (c) A chimpanzee tendon is attached to the forearm at a point farther from the elbow than for humans. Use this to explain why chimpanzees have stronger arms than humans. (The disadvantage is that chimpanzees have less flexible arms than do humans.)
BIO CALC Refer to the discussion of holding a dumbbell in Example 11.4 (Section 11.3). The maximum weight that can be held in this way is limited by the maximum allowable tendon tension T (determined by the strength of the tendons) and by the distance D from the elbow to where the tendon attaches to the forearm, (a) Let Tmax represent the maximum value of the tendon tension. Use the results of Example 11.4 to express wmax (the maximum weight that can be held) in terms of Tmax, L, D, and h. Your expression should not include the angle θ. (b) The tendons of different primates are attached to the forearm at different values of D. Calculate the derivative of wmax with respect to D, and determine whether the derivative is positive or negative, (c) A chimpanzee tendon is attached to the forearm at a point farther from the elbow than for humans. Use this to explain why chimpanzees have stronger arms than humans. (The disadvantage is that chimpanzees have less flexible arms than do humans.)
A tightrope walker stands on a wire that is supported by a pole at each end. The tightrope walker creates a tension of 3.42 ✕ 103 N in a wire making an angle 6.2° below the horizontal with each supporting pole. Calculate how much this tension stretches the steel wire (in cm) if it was originally 16 m long and 0.50 cm in diameter.
There is no accompanying image. This is the complete question.
In an emergency situation, a person with a broken forearm ties a strap from his hand to clip on his shoulder as in the figure below. His 1.60-kg forearm remains in a horizontal position and the
strap makes an angle of 0 = 53.5° with the horizontal. Assume the forearm is uniform, has a length of e = 0.324 m, assume the biceps muscle is relaxed, and ignore the mass and length of the
hand.
R
(a) Find the tension in the strap.
(b) Find the components of the reaction force exerted by the humerus on the forearm. (Assume the positive x-direction is to the right and the positive y-direction is upward.)
Ry =
N
R, =
N
12.9
Chapter 11 Solutions
University Physics with Modern Physics (14th Edition)
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