*4-30. Determine the moment of the force F about the door hinge at A. Express the result as a Cartesian vector. Z C X 30° a 2.5 m A 1 m Fc = 250 N Prob. 4-30 i Joooo 0.5 m 1.5 m

3 *3–72. Replace the force system by an equivalent resultant force and couple moment at point P. 0.75 m T 455 N 2.5 m 60° 600 N 12 13 y 5 O 2 m -1 m Probs. 3-71/72 0.75 m P₁ X

4-27. Replace the three forces acting on the plate 1 wrench. Specify the magnitude of the force and co moment for the wrench and the point P(y, z) where its of action intersects the plate. Z x A FA = {-80k}lb 12 ft. Z B Prob. 4-27 FB=(-60j] lb 12 ft C Fc-40i) lb

4-57. Determine the moment of this force F about an axis extending between A and C. Express the result as a Cartesian vector. X 4 ft 3 ft A Z 2 ft C B in Ch y F = {4i + 12j3k} lb