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This problem was contributed by Carmichael Ong at Stanford University.


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

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body--uriencoded--\ell%5e%7Bmt%7D
, the muscle is activated to a specified level, and the force is measured after the muscle and tendon reach equilibrium (steady state). The muscle has the following 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
.


For each of the following experimental conditions, calculate 

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body--uriencoded--\ell%5eM
and
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body--uriencoded--\ell%5et
.

a)

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bodya=0
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body--uriencoded--F%5et = 5000~\text%7BN%7D

b)

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bodya=1
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body--uriencoded--F%5et = 2500~\text%7BN%7D

c)

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bodya=1
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body--uriencoded--F%5et = 7500~\text%7BN%7D

d)

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bodya=0.5
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body--uriencoded--F%5et = 5000~\text%7BN%7D


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S3.8 Furusawa's sprint model
S3.8 Furusawa's sprint model

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