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An experiment is performed in which a muscle–tendon unit is fixed at some (an unknown ) length

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body--uriencoded--\ell%5e%7Bmt%7D
, the muscle is activated to a specified predetermined level, and the tendon force is measured after once the muscle and tendon reach have reached equilibrium (steady statei.e., muscle and tendon forces are equal). The muscle has the following active and passive force–length relationships:

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The tendon has the following force–strain relationship:

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The muscle and tendon parameters are

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body--uriencoded--\ell_o%5em = 10~\text%7Bcm%7D
,
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body--uriencoded--\ell_s%5et = 20~\text%7Bcm%7D
,
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body--uriencoded--F_o%5em = 5000~\text%7BN%7D
, and pennation
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body\phi = 0
.

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For each of the following experimental conditions , calculate (specified activation and measured tendon force), calculate the length of the muscle

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body--uriencoded--\ell%5eMell%5em
and the length of the tendon
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body--uriencoded--\ell%5et
.

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