CE 2450 : CE2450 Quiz1 Solution
Document Summary
Ce2450 (statics) quiz # 1 6/13/16 name:___________ ____id#________ Two forces act on the bracket as shown: represent each force in cartesian vector form, find the magnitude of the resultant force, calculate the coordinate direction angles of the resultant force. F1z = - 250 sin 35 = - 143. 4 n. F = 250 cos 35 = 204. 8 n. F1x = 204. 8 sin 25 = 86. 6 n. F1y = 204. 8 cos 25 = 185. 6 n. F1 = {86. 6 i + 185. 6 j 143. 4 k} n. F2 = 400{cos 120 i + cos 45 j + cos 60 k} F2 = {-200 i + 282. 8 j + 200 k} n. Fr = {-113. 4 i + 468. 4 j + 56. 6 k} n. Fr = {(-113. 4)2 + 468. 42 + 56. 62}1/2 = 485. 2 = 485 n. = cos-1 (frx / fr) = cos-1 (-113. 4 / 485. 2) = 103. 5 . = cos-1 (fry / fr) = cos-1 (468. 4 / 485. 2) = 15. 1 .
