Answer to Question #290778 in Physics for Nard

Question

Determine the resultant of the following: 9.0 N at 40°, 8.0 N at 120°, and 14.0 N at 22 0°, all

angles being measured with the positive x-axis. Use component method in finding the resultant.

Answer 1

$$F_x=9\cos40°+8\cos120°+14\cos220°=\\=-7.83\text{ N}.\\\space\\ F_y=9\sin40°+8\sin120°+14\sin 220°=\\=3.71\text{ N}.\\\space\\ F_R=\sqrt{F_x^2+F_y^2} =8.6\text{ N},\\\space\\ \theta=180°-\arctan\dfrac{F_y}{F_x} =155°$$