Answer to Question #302768 in Mechanics | Relativity for JIA

Question

An object is in equilibrium if all the forces on it balance. The figure below shows a beam weighing 124 N that is supported in equilibrium by a 100-N pull and a force at the floor. The third force on the bean is the 124-N weight that acts vertically downward.

Answer 1

$F_x=100\cos30°-124\sin40°=6.9~N,$

$F_y=124\cos40°-100\sin50°=45.0~N,$

$F=\sqrt{F_x^2+F_y^2}=45.5~N,$

$\varphi=180°-90°-40°-\arctan\frac{F_x}{F_y}=41.3°.$