13. The mechanical power output P in a contracting muscle is given by: where T is the...
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13. The mechanical power output P in a contracting muscle is given by:
where T is the muscle tension, v is the shortening velocity (max of ), is the isometric tension (i.e., tension at zero velocity), and k is a nondimensional constant that ranges between 0.15 and 0.25 for most muscles. The equation can be written in nondimensional form:
where , and . Consider the case .
(a) Plot p versus u for .
(b) Use differentiation to find the value of u where p is maximum.
(c) Find the maximum value of p.
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