A nail projects $40.0 \mathrm{~mm}$ horizontally outward from a wall. A $25.0 \mathrm{~N}$ coat is hung from the end of the nail and the nail deflects downward by $2.50 \times 10^{-6} \mathrm{~m}$. The shear strain of the nail is
A) $5.01 \times 10^{-5}$.
B) $6.25 \times 10^{-5}$.
C) $4.75 \times 10^{-5}$.
D) $5.75 \times 10^{-5}$.
E) $4.00 \times 10^{-5}$.

Question

Quizplus · Accepted Answer

Shear strain is defined as the deformation per unit length, or in this case, the deflection divided by the original length of the nail projecting from the wall. Thus, shear strain = $ \frac{2.50 \times 10^{-6} \, \text{m}}{40.0 \times 10^{-3} \, \text{m}} = 6.25 \times 10^{-5}$.

A Nail Projects 40.0 mm40.0 \mathrm{~mm}40.0 mm Horizontally Outward from a Wall 25.0 N25.0 \mathrm{~N}25.0 N

A Nail Projects $40.0 \mathrm{~mm}$ Horizontally Outward from a Wall $25.0 \mathrm{~N}$