Determine the magnitude and coordinate direction angle

Question

Assignment:

Problems:

1. Determine the magnitude of resultant force F_x = F₁ + F₂ and its direction 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 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 equilirium Set F = 300N and d= 1 m.

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 stifness shown. Determine the unstretched lenght 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 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 exerts a vertical force of F = 1200 N on the collar at A. Determine the  tension in each of the cables for equilibrium.