Answer to Question #222372 in Mechanics | Relativity for Payal

Question #222372

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


1
Expert's answer
2021-08-03T11:41:29-0400

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.

tanα=43Fz=200N×sinα=200×45=160N\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}


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