Engineering Statics

A-17


A force F of magnitude 240 N acts at the origin of a coordinate system. Knowing that θx = 32.5°, Fy = -55 N, and Fz > 0, determine the components Fx and Fz and the angles θy and θz .

We know that Fx is equal to the magnitude of F times the cosine of the angle.
We substitute and solve for Fx.
Apply the Pythagorean theorem to identify the unknown, Fz.
Now solve for Fz...
(Don't forget to subtract)
Fz is 117N.
We know that Fy is equal to the magnitude of F times the cosine of the angle.
We isolate and solve for θy.
Using the same approach, we isolate and solve for θz.