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The shear modulus of steel is 8.1 × 1010 N/m2. A steel nail of radius 7.5 × 10–4 m projects...

The shear modulus of steel is 8.1 × 1010 N/m2. A steel nail of radius 7.5 × 10–4 m projects 0.040 m horizontally outward from a wall. A man hangs a wet raincoat ofweight 28.5 N from the end of the nail. Assuming the wall holds its end of the nail, what is the vertical deflection of the other end of the nail?
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Answer #1
GivenThe shear modulus of steel , G =8.1 x 10^10 N/m^2
Steel nail radius r =7.5 x 10^-4 mArea of nail, A = πr 2= 3.14(7.5 x10^-4 m)^2 = 1.767 x 10 -6 m 2Horizontallength L = 0.040 mWeight of the coat,F =28.5 NThe vertical deflection of the other end of the nailbe ΔyWe knowG = ( F/A) / (Δy / L )From thisΔy = FL / AG= 28.5N(0.04 m) / (1.767 x 10 -6 m 2)(8.1 x 10^10 N/m^2)= 7.96x 10 -6 mThus, the vertical deflection of the other end of the nail is 7.96 *10^-6 m
answered by: Meech
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