1. Determine the magnitude of the resultant force Fx = F1 + F2 and its directions measured clockwise from the positive u axis.
2. Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis.
3. Four concurrent forces act on the plate. Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis.
4. The force F has a magnitude of 80 lb and acts within the octant shown. Determine the magnitude of the x, y, z components of F.
5. Determine the magnitude and coordinate direction angles of F3 so that the resultant of the three forces acts along the positive y axis and has a magnitude of 600 lb.
6. Determine the forces in cables AC and AB needed to hold the 20-kg cylinder D in equilibrium. Set F =300 N and d =1m.
7. The 30-kg pipe is supported at A by a system five cords. Determine the force in each cord for equilibrium.
8. The 30-kg block is supported by two springs having the stiffness shown. Determine the unstretched length of each spring after the block is removed.
9. The mast AO is supported by three cables. If cable AB is subjected to a tension of 500 N, determine the tension in cables AC and AD and the vertical force F which the mast exerts along its axis on the collar at A.
10. The mass OA exerts a vertical force of F = 1200 N on the collar at A. Determine the tension in each of the cables for equilibrium.
