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

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

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=√(x^2+y^2-2xy\cos 90^o)`

`32^2=19^2+y^2-2(19)y* 0`

`1024-361=y^2`

`y=√(663)=25.74\approx 26`

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