Problem 1 3 ft 4 ft 4 ft 2 ft F (30i 45j+50k} lb Problem 2 13" B 15" 145° 4 ft B a) Determine the magnitudes of the components of F = {30i-45j+ 50 k} N acting along and perpendicular to segment BC of the pipe assembly. b) Determine the magnitude of the projected component of F = {30i-45j+50 k} N along AC. c) Express this component from part b in Cartesian vector form. 180 lb The 180-lb force is applied at point A of the bracket. a) Determine the moment of this force about point B. b) Determine the moment of this force about point C. c) Determine the moment of this force about the line BC. 12" 60° Problem 3 -F4 = [-150 k] N 0.3 m -30° F4 = [150k] N If the resultant couple moment is (MC) R = {50i-45j - 20 k} N.m a) Determine the required magnitude of F1, F2 and F3. b) Determine the coordinate direction angles of the resultant couple moment, (MC) R. 0.3 m 0.2 m 0.3 m 0.2 m F₁ 0.2 m²-F₁ -F2 0.2 m F2 -F3 0.2 m F3