One model of the length LACL of a person\\\'s anterior cruciate ligament, or ACL

Question

One model of the length LACL of a person's anterior cruciate ligament, or ACL, relates it to the person's height h with the linear function:

This relationship does not change significantly with age, gender, or weight. If a basketball player has a height of 2.29 m, approximately how long is his ACL?

If a stress of 1.05 × 107 N/m2 is applied to his ligament, how much will it stretch? The Young's modulus for the ACL is 1.10 × 108 N/m2.

One model of the length LACL of a person's anterior cruciate ligament, or ACL, relates it to the person's height h with the linear function: LACI 0.04606h (41.29 mm) This relationship does not change significantly with age, gender, or weight. If a basketball player has a height of 2.29 m, approximately how long is his ACL? Number 64.2 If a stress of 1.05 x 107 N/m2 is applied to his ligament, how much will it stretch? The Young's modulus for the ACL is 1.10 x108 N/m2. Number 6.42

Explanation / Answer

Stress / strain = Y

Strain = Stress/Y

Strain = 1.05 × 107 N/m2 /1.10 × 108 N/m2 = 0.095454

L/Change in Length = 0.095454

Change in Length is L/0.095454 =672.5 mm

Ligament will stretch by 672.5 mm

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