Sample Problem 2.2 soLUnoN: - Find a graphical solution by applying the Parallelogram Rule for vector addition. The parallelogram has sides in the directions of the two ropes and a diagonal in the direction of the barge axis and length proportional to 25 kN force. Abarge is pulled by two tugboats. _ _ _ _ . If the resultant of the forces - Find a trigonometric solution by applying exerted by the tugboats is a 25 kN the Triangle Rule for vector addition. With directed along the axis ef the the magnitude and direction of the resultant barge determine known and the directions of the other two sides parallel to the ropes given, apply the a) the tension in each of the ropes Law Of 511133 to nd the rope t6Jlliilll''r- for U\" = 450' - The angle for minimum tension in rope 2 is b) the value of or. for which the determined by applying the Triangle R1113 tensign in [pe 2 is minimum. and observing the effect of variations in or. 2-12