A nail with a diameter of 1.00 mm projects 25.0 mm horizontally outward from a wall.A 40.0 N picture is hung from the end of the nail.If the shear modulus is 3.40 $\times$ 10¹⁰ N/m²,then how much does the nail deflect downward? A) 37.5 $\times$ 10^-6 m B) 44.5 $\times$ 10^-6 m C) 47.8 $\times$ 10^-6 m D) 56.5 $\times$ 10^-6 m E) 78.5 $\times$ 10^-6 m

Question

Quizplus · Accepted Answer

The correct answer is A because the shear modulus is the ratio of shear stress to shear strain. The shear stress is the force per unit area, and the shear strain is the angle of deformation. In this case, the force is the weight of the picture, and the area is the cross-sectional area of the nail. The angle of deformation is the amount that the nail deflects downward. The shear modulus is a constant for a given material, so the amount that the nail deflects downward is proportional to the force applied.

A Nail with a Diameter of 1 ×\times× 1010 N/m2,then How Much Does the Nail Deflect Downward? A)

A Nail with a Diameter of 1 $\times$ 10¹⁰ N/m²,then How Much Does the Nail Deflect Downward?
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