Physics vectors component

Question

asked Dec 16, 2023 19.0k views

1 Answer

Dan Beaulieu · Answer 1 · 2023-12-21T15:38:36+0000

Explanation:

Componets of a vector are

$x = r \cos(x)$

$y =r \sin(x)$

The vector of F1 has a angle of 30 and radius of 30 n so the component are

$x = 30( \cos(30) ) = {15 √(3) }$

$y = 30 \sin(30) = 15$

F2 is a 90 degree so

$x = 20 \cos(90) = 0$

$y = 20\sin(90) = 20$

F3 is a 240 degree so we have

$x = 35( \cos(240) ) = - 17.5$

$y = 35 \sin(240) = - 17.5 √(3)$

F4 is 310 angle so we have

$x = 40 \cos(310) = - 21.01$

$y = 40 \sin(310) = 34.04$