Question

8. Abductin, an elastic protein found in the ligaments of scallops, has a Young’s modulus of 4.00 MPa. The inner hinge ligament has a cross-sectional area of 0.780 mm² and a relaxed length of 1.00 mm. When the muscles in the shell relax, the shell opens. This increases efficiency as the muscles do not need to exert any force to open the shell, only to close it. If the muscles must exert a force of 1.96 N to keep the shell closed, by how much is the abductin ligament compressed?

Answer 1

f=1.96N L = 1 mm A=0.780 mone yougos modules (Y) = 4 xrob N/m2 1 » younger modulel 1) = (1 - 2 7 ya tentang E Abduction ligament , E compression AL = 1.96 'X 1X1033 1 0-780X1026 X 4X106) OL = 0.6 282 X1003 m TOL = 0.6282 mm & the Abduction ligament compression by an Amount 6282 mm

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