A square plate is 2.2 × 10^{-2} m thick, measures 3.3 × 10^{-2} m on a side, and has a mass of 7.2 × 10^{-2} kg. The shear modulus of the material is 2.5 × 10^{10} N/m^{2}. One of the square faces rests on a flat horizontal surface, and the coefficient of static friction between the plate and the surface is 0.92. A force is applied to the top of the plate, as in Figure (*a*). Determine **(a)** the maximum possible amount of shear stress, **(b)** the maximum possible amount of shear strain, and **(c)** the maximum possible amount of shear deformation Δ*X* (see Figure (*b*)) that can be created by the applied force just before the plate begins to move.

#### Top Answer

A=πR² = π(2.85•10⁻²)² =8.12•10⁻⁴ m² G=1.16•10⁷N/m², ... View the full answer