A 24.0 N picture hangs from a nail in the wall. The diameter of the nail is 2.00 mm. The shear stress on the nail is A) 7.64 × 10⁶ N/m². B) 6.24 × 10⁶ N/m². C) 5.65 × 10⁶ N/m². D) 4.37 × 10⁶ N/m². E) 4.02 × 10⁶ N/m².

Question

Quizplus · Accepted Answer

The shear stress is calculated using the formula: shear stress = force / area. The area is the cross-sectional area of the nail, which is π*(d/2)^2. With a diameter of 2.00 mm (0.002 m), the area is π*(0.001)^2. The shear stress is then 24.0 N / (π*(0.001)^2) = 7.64 × 10^6 N/m^2.

A 240 N Picture Hangs from a Nail in the Wall