1. Find the magnitude and direction of (a) the vector sum of A and B, (b) the vector difference of A and B, (c) the scalar product of D and B, (d) the vector product of C and A, and (e) the cross product of A and D. (5 points) B (15.0 m) D (10.0 m) 30.09 53.0 25 0 C (120 m A (8.00 m) 2. Determine the work done by each force and the total work done that is, if the box is displaced by 500 cm. (5 points) F2 Given:F1 = F3 800 dynes P1 F2 = 600 dynes F3 = 400 dynes 01 - 280 02 = 35 f = 400 dynes S = 500 cm 3. A square metal plate 0. 180 m on each side is pivoted about an axis through point O at its center and perpendicular to the plate (see figure). Calculate the net torque about this axis due to - . . L O E 58%3. A square metal plate 0.180 m on each side is pivoted about an axis through point O at its center and perpendicular to the plate (see figure). Calculate the net torque about this axis due to the three forces shown in the figure if the magnitude of the forces are F1 = 18.0 N, F2 = 26.0 N, and F3 = 14.0 N. The plate and all forces are in the plane of the page. (10 points) F2 F1 0. 180 m 0.80 m O 450 F3 4. Two vertical cables at either end hoist a 350-N, uniform, 1.50-m bar horizontally. Cable A can withstand a maximum tension of 500.0 N without breaking, while cable B can withstand a maximum tension of 400.0 N without breaking. You should put a light weight on this bar. (a) What is the largest weight you can put on without breaking either cable? (b) Where should this weight be placed? (10 points)