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We wish to construct a micro-muscle using sarcomeres from human skeletal muscle. The micro-muscle must satisfy the performance requirements described below. The micro-muscle will operate over the following range of fiber lengths: at its maximum fiber length, each sarcomere is will be at the its optimal sarcomere length (i.e.,
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| body | --uriencoded--\ell_%7B\mathrm%7Bo%7D%7D%5e%7B\mathrm%7BS%7D%7D = 2.7~\text%7Bμm%7D |
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); at its minimum
fiber length, each sarcomere
has will have a length of
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| body | --uriencoded--0.5 \ell_%7B\mathrm%7Bo%7D%7D%5e%7B\mathrm%7BS%7D%7D |
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. For this problem, assume that a sarcomere produces a maximum active force of 1 μN at
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| body | --uriencoded--\ell_%7B\mathrm%7Bo%7D%7D%5e%7B\mathrm%7BS%7D%7D |
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.
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