Question

a 230-newton box rests on a plank 5 meters long. One end is 1.2 meters higher than the other end. Find the components of the force the box exerts

Answer 1

The components of the force the box exerts are Wx = 223.27 N and Wy = 55.21 N. Being Wx the component over x axis and Wy the component over y axis.

Angle A calculation

Cos A = 1.2/5 => A = ArcCos (1.2/5)

A = 76,11°

Then we will calculate components of force W (weight). Free-Body diagram is annexed

Wx = WSen76.11° = 230Sen 76.11°

Wx = 223.27 N

Wy = WCos76.11° = 230Cos76.11°

Wy = 55.21 N