The rectangular components of a force are F y 13 kN and F x

The rectangular components of a force are F_ y = +1.3 kN and F_ x = +103 N. Calculate the magnitude, inclination with the horizontal axis, and the sense of the resultant force F. Find the resultant force on the screw eye. One rope is horizontal, the other rope is vertical. The force in the rope is 175 Ib.

Solution

2.6) F_Y=1.3kN=1300N ,F_X=103N

resultant force F=[F_X²+F_Y²]

F=[103²+1300²]

F=1304.07

inclination =tan^-1(F_Y/F_X)

inclination =tan^-1(1300/103)

inclination =85.47⁰

2.7)F_X=175N,F_Y=175N

resultant force F=[F_X²+F_Y²]

resultant force F=[175²+175²]

resultant force F=247.5N