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• Mathinline
  body --uriencoded--\ell%5e%7BMT%7D = 40~\text%7Bcm%7D

• activation

  Mathinline
  body a=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

).

(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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