•2-77. Determine the magnitude and coordinate direction angles of F, so that the resultant of the two forces is zero. F2 Y2 B2 a2 y 60° 15°- F = 180 N

30° F2 = 200 N 1213 F3 = 260 N If the magnitude of the resultant force acting on the bracket is to be 450 N directed along the u axis, determine the magnitude of F1 and its direction o.

5- The mast is subjected to three forces shown. Determine all the coordinate direction angles of Fi so that the resultant force action on the mast is zero. F-300 N F-500 N F-200 N

Determine the magnitude of the resultant force FR = F₁ + F₂ and its direction, measured counterclockwise from the positive x axis. 2-6. Determine the magnitude of the resultant force FR = F₁+F₂ and its direction, measured clockwise from the positive u axis. 75° -30° 30° F₁ = 250 lb F₂=375 lb 30° F₂ = 6 kN F₁ = 4 kN

2-59. If F 5 kN and 0 = 30°, determine the magnitude of the resultant force and its direction, measured counter- clockwise from the positive x axis. 4 kN 15° y 0. 6 F 30° 6 kN

2-65 2-66

The force in the cord AB is F=340 lb. Express the force as a cartesian vector. What is the length of cord? 9 ft B 8 ft 12 ft

2-67. Determine the magnitude and coordinate direction angles of F, so that the resultant of the three forces acts along the positive y axis and has a magnitude of 600 lb. *2-68. Determine the magnitude and coordinate direction angles of F, so that the resultant of the three forces is zero. F- 180 Ib F= 300 Ib Probs. 2-67/68