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1. Determine the resultant R of the two forces shown by (a) applying the parallelogram rule for vector addition and (b) summing scalar components.
2. Determine the components of the 2-kN force along the oblique axes a and b. Determine the projections of F onto the a- and b-axes.
3. A prybar is used to remove a nail as shown. Determine the moment of the 240N force about the point O of contact between the prybar and the small support block.
4. Replace the 4-kN force acting at point A by a forcecouple system at (a) point O and (b) point B.
5. The indicated force-couple system is applied to a small shaft at the center of the rectangular plate. Replace this system by a single force and specify the coordinate of the point on the y-axis through shich the line of action of this resultant force passes.
6. The turnbuckle T is tightened until the tension in cable OA is 5kN. Express the force F acting on point O as a vector. Determine the projection of F onto the y-axis and onto the line OB. Note that lines OB and OC lie in the x-y plane.
7. The force F has a magnitude of 2kN and is directed from A to B. Calculate the projection F_cd of F onto line CD and determine the angle 세타 between F and CD
8. The right-angle pipe OAB of prob. 2/99 is shown again here. Replace the 750N tensile force which the cable exerts on point B by a force-couple system at point O.