Find the magnitude and direction of the resultant force and moment at point A

3. Determine P if the resultant moment is 1500 Nm anti-clockwise, Calculate also the resultant force and the horizontal distance of this resultant force from point O 70 N 50 N 30 60° -6 100 N

SOLVE ASAPThe line of action of force F₁ = 388 N is passing through point A(+2,+3,+1) towards B(+5,+5, +4), while that of force F₂ = 488 N is through point C(+3,+1,−1) towards D(-2, -3, -4). Use a right-handed coordinate system.a. Determine the moment of force F₁ about the origin.b. Determine the moment of force F2 about the origin. c. Determine the magnitude of the resultant moment of forces Fi and F₂ about segment OE. Point O is the origin and point E is at (+5,+5,-3).

The port hull of a catamaran (top view shown) has cleats at points A, B, and C. A rope having 100N force is to be attached to one of these cleats. If the force is to produce the largest possible counterclockwise moment about point O, determine the cleat to which the rope should be attached and the direction the rope should be pulled (measured positive counterclockwise from the positive x direction). Also, determine the value of MO produced. Assume all cleats, point O, and the rope lie in the same plane.