Normal Force on Incline
N = m × g × cos(θ). Component of weight perpendicular to incline surface.
Result
General calculation reads
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How to use this calculator
- Enter mass, incline angle, gravity.
- Read normal + parallel.
About this calculator
On an incline at angle θ, weight (mg) splits into two components: normal (perpendicular to surface) = mg cos θ, and parallel (along surface, pulling object down the slope) = mg sin θ. Normal force is what gives friction grip; parallel is what tries to slide the object. Combined with friction (f = μN), you can compute when an object slides: tan θ = μ at the angle of repose.
Frequently asked
When does object slide?+
Why cos and sin?+
Flat surface (θ=0)?+
Vertical wall (θ=90°)?+
Real-world?+
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