Question

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?

Answer 1

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

$\theta$ = angle between the vertical and horizontal forces.

$R=\sqrt{x^2+y^2-2xy\cos 90^o}$

$32^2=19^2+y^2-2(19)y\times 0$

$1024-361=y^2$

$y=\sqrt{663}=25.74\approx 26$

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