3.157 Three horizontal forces are applied as shown to a vertical cast-iron arm. Determine the resultant of the forces and the distance from the ground to its line of action when (a) P= 200 N, (b) P= 2400 N, (c) P = 1000 N.

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Problem #1 The inclined pole is subjected to a 5 kN magnitude force vector F acting from point B towards point C. В (1,5, 6) m (a) Determine the angle 0 that exists between the force vector F and the pole AB. F (b) Determine the magnitude of the component of the force vector F that acts parallel to the pole AB. A y (c) Determine the magnitude of the component of the force vector that acts perpendicular to the pole AB. С (4, 3, 0) m (d) If the maximum allowable compressive force (i.e., Parallel Component of F) the pole AB can resist is 8 kN, determine the largest magnitude of the vector F that can be applied at B in the direction shown to satisfy this condition.