40 N C 50 N 4 m D A 20m x 10m uniform rectangular plate of mass m = 10 kg is held by a pivot (or pin) at A and a roller at B. The roller makes an angle of 30 with the horizontal. The plate is loaded with a horizontal 40 N force at C and a vertical 50 N force at D. The center of mass G of the plate is at its center. G 20 m 30 a) Draw the free body diagram of the plate and calculate its weight W. Use g = 9.81 m/s. b) Find the reactions at B. c) Find the reactions at A.