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  • Mathinline
    body--uriencoded--\ell%5e%7BMT%7D = 40~\text%7Bcm%7D
  • activation
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    bodya=1
  • pennation angle
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    body\phi = 0

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(b) Now assume that the tendon is compliant with stiffness

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body--uriencoded--k = 100~\text%7BN/cm%7D
. Further assume that both the muscle and tendon have linear force–length relationships (see figures below). Design an algorithm (using pseudocode or a flowchart) to solve for the muscle force (
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body--uriencoded--F%5eM
), starting from an initial guess for muscle length (
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body--uriencoded--\ell%5eM
) and iterating until a stopping condition is met. Just describe the algorithm (do not try to solve for
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body--uriencoded--F%5eM
).

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(c) Complete one iteration of the algorithm you designed in part (b) using the properties and scenario described above. Use the initial guess

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body--uriencoded--\ell%5eM = 22.5~\text%7Bcm%7D
. Based on your calculations, how should you change your guess to get closer to the point where the muscle and tendon are in equilibrium?

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