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.)
How much compressive stress is present on the L1, L2 vertebral disc of a 625 N woman, given that approximately 45% of body weight is supported by the disc when she stands erect holding a 222 N suitcase? (Assume that the disc is oriented horizontally and that its surface area is 20 cm2.)
One end of a uniform rod of weight w = 73.5 N and length L = 2.55 m is supported by a cable at an angle of ? = 37.0°above the rod. The other end rests on a small frictionless support and presses into a wall as shown in the figure.
Determine the magnitude n of the vertical normal force exerted by the support on the rod and find the magnitude T of the tension in the cable.
If the curvature of this pole is measured, can the bending stress developed within it be determined? How?
Chapter 11 Solutions
University Physics with Modern Physics (14th Edition)
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