Question

A forece acts at the origin of a coordinate system in a direction defined by the angles theta(x) = 75, Theta(z) = 130. Knowing that the y component of the force is +300 lb, determine,

(a) the angle Theta(y)
(b) the other components and the magnitude of the force.

Answer 1

@ganeshie8

Answer 2

you have \(\vec F = F_T<cos \theta_x,cos \theta_y,cos \theta_z>\)
and \(\vec F \bullet \vec F = F^2_T <cos \theta_x,cos \theta_y,cos \theta_z> \bullet <cos \theta_x,cos \theta_y,cos \theta_z> = F^2_T\)

Answer 3

You can get \(F_T\) from the information in the diagram below

Then the other components can be calculated:
$$
F_x=F_T\cos 75\\
F_z=F_T\cos 130\\
$$

Does this make sense?