Inclined Plane Calculator
Calculate forces on inclined planes. Find normal force, parallel force, friction, and acceleration.
Force Diagram
Weight (W)Normal (N)Parallel (W||)Friction (f)
Object Will Slide
Acceleration: 2.3563 m/s² down the plane
Forces
98.1 N
Weight (mg)
84.9571 N
Normal Force
25.4871 N
Friction Force
Weight Components
49.05 N
Parallel (mg sin θ)
Down the plane
84.9571 N
Perpendicular (mg cos θ)
Into the plane
Analysis
Max Static Friction:25.4871 N
Force trying to slide:49.05 N
Net Force (parallel):23.5629 N
Critical angle for μ = 0.3:16.7°
Min μ for θ = 30°:0.5774

Formulas

Object slides when mg sin θ > μ mg cos θ, i.e., when tan θ > μ

Weight parallel: W∥ = mg sin θ
Weight perpendicular: W⊥ = mg cos θ
Normal force: N = mg cos θ
Friction force: f = μN
Critical angle: θc = arctan(μ)

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