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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 |
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, 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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,
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| body | --uriencoded--\ell_s%5et = 20~\text%7Bcm%7D |
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,
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| body | --uriencoded--F_o%5em = 5000~\text%7BN%7D |
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, and pennation
.
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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 |
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and
the length of the tendon | Mathinline |
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| body | --uriencoded--\ell%5et |
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.
(a)
,
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| body | --uriencoded--F%5et = 5000~\text%7BN%7D |
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(b)
,
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| body | --uriencoded--F%5et = 2500~\text%7BN%7D |
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(c)
,
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| body | --uriencoded--F%5et = 7500~\text%7BN%7D |
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(d)
,
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| body | --uriencoded--F%5et = 5000~\text%7BN%7D |
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...
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| title | Solution (only visible by instructors; please contact us to request access) |
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| S3.8 Furusawa's sprint model | S3.8 Furusawa's sprint modelS5.4 Muscle–tendon equilibrium |
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| S5.4 Muscle–tendon equilibrium |
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