The force on the brick is 2750NThis has a vertical component (Fv) of 2750 * Sin(27) = 1248.47 N and a horizontal component (Fh) of 2750 * Cos(27) = 2450.27 N We have to assume that the lead brick will undergo elastic deformation rather than plastic deformation. (a) Young's modulus for Lead is 16 GPa = Fv * h / (A * dh) where h is the height = 0.02 m A is the top area = 0.06 * 0.05 = 0.003 m^2 dh = the change in height 16 * 10^9 = 1248.47 * 0.02 / (0.003 * dh) dh = 1248.47 * 0.02 / (0.003 * 16 * 10^9) = 5.2*10^(-7)(b) Shear modulus for Lead = 5.6 GPa = Fh * h / (A * dx) where dx is the amount the top surface will move horizontally because of the defromation (from Wikipedia) 5.6 * 10^9 = 2450.27 * 0.02 / (0.003 * dx) dx = 2450.27 * 0.02 / (0.003 * 5.6 * 10^9) = 2.92 *19^-6

the answers were incorrect

The force on the brick is 2750NThis has a vertical component (Fv) of 2750 * Sin(21)= 985.51 N and a horizontal component (Fh) of 2750 * Cos(21)= 2567.35 N We have to assume that the lead brick will undergo elastic deformation rather than plastic deformation. (a) Young's modulus for Lead is 16 GPa = Fv * h / (A * dh) where h is the height = 0.02 m A is the top area = 0.06 * 0.05 = 0.003 m^2 dh = the change in height 16 * 10^9 = 985.51 0.02 / (0.003 * dh) dh = 985.51 0.02 / (0.003 * 16 * 10^9) = 4.11*10^-7(b) Shear modulus for Lead = 5.6 GPa = Fh * h / (A * dx) where dx is the amount the top surface will move horizontally because of the defromation (from Wikipedia) 5.6 * 10^9 = 2567.35 0.02 / (0.003 * dx) dx = 2567.35 0.02 / (0.003 * 5.6 * 10^9) = 3.1*10^-6

it is still incorrect :(

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