Question

two dogs pull horizontally on ropes attached to a post the angle between the ropes is 60 degree. if dog A exerts a force of 270N and do B exerts a force of 300N, find the magnitude of the resultant force and the angle it makes with dog A's rope

Answer 1

$$F=\sqrt{270^2+300^2+2(270)(300)\cos{60}}=494\ N$$

$$\theta=\arctan{\frac{(300)\sin{60}}{270+(300)\cos{60}}}=31.7\degree$$