Find the resultant forece of the following forces which act upon a particle.
(a) ` 30 N due east `
(b) ` 20 N`1 due North
(c ) ` 50 N` due West
(d) ` 40 N` due South.

Explanation

Efferctive force along West, ` A = 50 - 30 = 20 N`
Effective force along South, B= 40 - 20 = 20 N`
:. ` R sqrt (A^2 + B^@) = sqrt ( 20^2 + 20^2) = 20 sqrt 2 N` :
` tan beta = B/A = (20)/(20) = 1 ` or beta 45^@` .