An object is acted upon by two forces operating 5N and 12 N. calculate the resultant of the force acting on an angle of 120 degree to each other.

1 answer

if the 5N force acts in the +i direction, then the resultant is
r = 5i + (-6 i + 6√3 j) = -i + 6√3j
|r| = √(1^2 + 108) = √109
at an angle θ where
tanθ = 6√3/-1 = -6√3
θ = 95.5°