Question

a force of magnitude 200 n is directed from a(0 3 0) to b(0 0 4) the z component of force is

Answer 1

Explanations & Calculations

• If you look carefully you can figure out that even though the coordinates define a 3d vector space, the given situation is restrained to the y-z plane, which makes the process much easier.
• Then the angle alpha can be calculated & then the force can be resolved along the needed direction.

$\qquad\qquad \begin{aligned} \small \tan \alpha &=\small \frac{4}{3}\\\\ \small \therefore \,F_z&=\small 200N\times \sin \alpha=200\times \frac{4}{5}\\ &=\small \bold{160\,N} \end{aligned}$