Question

Two forces act on an object. The first is a horizontal 50N force. The second is a 40 N force acting at an angle to the horizontal. Use a graphical method drawn to a scale of 1mm:1N to find the resultant if the 40N force is inclined at 30° to the horizontal

Answer 1

The sesultant force has a componets

$$R_x=85\:N,\quad R_y=20\:N$$

The magnitude of resultant force

$$R=\sqrt{R_x^2+R_y^2}=\sqrt{85^2+20^2}=87\: N$$