Q3. The 500 N force acting on the frame is to be resolved into two components acting along the axis of the AB and AC. If the component of force along AC is required to be 300 N, directed from A to C, determine the magnitude of force acting along AB and the angle 0 of the 500N force. E-500N

2-31. Three chains act on the bracket such that they create a resultant force having a magnitude of 500 lb. If two of the chains are subjected to known forces, as shown, determine the angle 6 of the third chain measured clockwise from the positive x axis, so that the magnitude of force F in this chain is a minimum. All forces lie in the x-y plane. What is the magnitude of F? Hint: First find the resultant of the two known forces. Force F acts in this direction. y 300 lb 30 200 lb Prob. 2-31

1-Determine the magnitude of the resultant force and the direction, met counterclockwise from the positive x axis (Parallelogram Law) 400 N X 30 400 N

2-29. Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis. 60° 30° F = 400 N 456 F = 250 N

2 m F₂ = 40 N T 3 m A F₁ = 70 N 3 m C -3 m 4 m x 2m B Determine the magnitude of the projection of the force F₁ along cable AC. Determine the angle between the two ropes.

4. Determine the magnitude of the resultant force (Fr). And Determine the direction of the resultant force, measured counter-clockwise from the positive x-axis. (theta).