The ramp pushes out perpendicular to its surface exactly hard enough to cancel the block's press into it.
Example
The ramp pushes out perpendicular to its surface exactly hard enough to cancel the block's press into it.
highlighted = computed this step
The block presses into the ramp
From the last lesson, the block presses into the surface with 8 newtons.
W⊥=8N
The surface pushes straight back
The block does not sink into the ramp, so the surface must push out just as hard, perpendicular to the slope. That push is the normal force, equal to the press: 8 newtons.
N=W⊥=8N
mechanicsThe normal force simply equals the into-slope press, 8 N, because nothing moves perpendicular to the surface.