(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The figure, redrawn from Gray's Anatomy, shows the tension of which a muscle from its maximum length L, so that at x=0 the muscle has length L, and at x=L the muscle would theoretically have zero length. In reality, the muscle is extended to its maximum length, at x=0, it is capable of the greatest tension, T0. As the muscle contracts, however, it becomes weaker. Gray suggests approximating this function as a linear decrease, which would theoretically extrapolate at zero at x=L.

(a) find the maximum work the muscle can do in one contraction, in terms of c, L, and T0.

(b)Gray also states that the absolute maximum tension T0 has been found to be approximately proportional to the muscle's cross sectional area A(presumably measured at x=0), with proportionality constant K. Approximating the muscle as a cylinder, show that our answer from part (a) can be expressed in terms of the volume, V thus eliminating L & A

(c) Evaluate your result numerically for the biceps muscle with a volume of 200 cm^3, with a c=0.8, and a k=100N/cm^2 as estimated by Gray

2. Relevant equations

PE(i)+KE(i)=PE(f)+KE(f)

W=F*D

Y=mx+c

w=integral of Force * dx

3. The attempt at a solution

Pretty much stuck at trying to get the equation for the tension verses length of the muscle

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# Work, tension and conservation of energy

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