2.4 ADDITION OF A SYSTEM OF COPLANAR FORCES 43 2-53. Express F1 and F2 as Cartesian vectors. 2-54. Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis. *2-56. If the magnitude of the resultant force acting on the bracket is to be 450 N directed along the positive u axis, determine the magnitude of F1 and its direction o. 2-57. If the resultant force acting on the bracket is required to be a minimum, determine the magnitudes of F1 and the resultant force. Set $ = 30°. 2 Copyright y F, u y * 12 13 5 30° C -x F2= 200 N 12 13 5 -30°. F1 = 30 kN F3 = 260 N 2015 Pearson eres act on the bracket. Determine Probs. 2-56/57 Probs. 2-53/54 2-58. Th magnitude and direction 0 of F so that the resultant force is directed along the positive x' axis and has a magnitude of 8 kN. 2-55. Determine the magnitude of force F so that the resultant force of the three forces is as small as possible. What is the magnitude of the resultant force? 2-59. If F = 5 kN and 0 = 30°, determine the magnitude of the resultant force and its direction, measured counter- clockwise from the positive x axis. tion y 4 kN F 15º 14 kN F 30° 45º 1 8 kN 30° .r 6 kN Printed by Malcolm Mcmillan (mcmillan@phas.ubc.ca) on 8/11/2015 from 50.67.63.147 authorized to use until 12/4/2022. Use beyond the authorized user or valid subscription date represents a copyright violation. Probs. 2-58759