The resultant of two forces acting at a point at right angles to each other is 32 pounds. If the horizontal force is 19 pounds, what is the other force to the nearest pound?

Respuesta :

Answer:

The vertical force or the other force to the nearest pounds is 26 pounds

Step-by-step explanation:

The resultant force,R = 32 pounds

The horizontal force, (x)= 19 pounds

The vertical force = y

[tex]\theta[/tex] = angle between the vertical and horizontal forces.

[tex]R=\sqrt{x^2+y^2-2xy\cos 90^o}[/tex]

[tex]32^2=19^2+y^2-2(19)y\times 0[/tex]

[tex]1024-361=y^2[/tex]

[tex]y=\sqrt{663}=25.74\approx 26[/tex]

The vertical force or the other force to the nearest pounds is 26 pounds