Practice Problem 2.4.7: Knowing that the forces P and Q are equivalent to a single force R that passes through point A, determine P. Q = 30 lbr 8.5 in. P/ 35° - 8 in - - 5 in.

Two bolts at A and B are used to move the trunk of a fallen tree. Replace the forces exerted by the ropes with an equivalent wrench and determine (a) the resultant force , (b) the pitch of the wrench, (c) the point where the axis of the wrench intersects the yz plane.

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.

3.22 Calculate the moment of the 550-lb force about point 0 shown without using Varignon's theorem. Make a similar calculation using the theorem, resolving the force into its X and Y components at point A. 550 lb

Section 3.3 Moment of a Force 3.17 The four forces shown have parallel lines of action. Member AB is perpendicular to the lines of action of these forces. (a) Determine the moment of each force with respect to point A. (b) Compute the algebraic summation of the moments with respect to point A. Be sure to note the sense of the resul- tant moment. A 20 lb PROBLEM 3.17 5' 40 lb + 6' 50 lb 230 lb 2 2x2 8' B TIRSINT