Find the resultant force of the following forces which act upon a particle . (a) 30 N due east , (b) 20 N due north , (c) 50 N due west , (d) 40 N due south .

Find the resultant force of the following forces which act upon a part

1.	Find the resultant force of the following forces which act upon a particle . (a) 30 N due east , (b) 20 N due north , (c) 50 N due west , (d) 40 N due south .
Answer» Solution :From FIGURE, Resultant FORCE , `vec(F) = vec(F)_(1)+ vec(F)_(2) + vec(F)_(3) + vec(F)_(4)` `= 30 hat(i) + 20 hat(j) - 50 hat(i) - 40 hat(j)` `= - 20 hat(i) - 20 hat(j)` `:. \|vec(F)\| = SQRT((-20)^(2) + (-20)^(2))` `= 20 sqrt(2)` `tan phi = (20)/(20) = 1` (or) `phi = 45^(@)`