Newtonian Mechanics
Inclined plane friction
Examine static and kinetic friction thresholds on an inclined plane. Choose surfaces, modify gravity parameters, and watch how vector lengths of weight, normal, and friction force update.
Model
Friction Wedge
Static & Kinetic
Crit. Angle
22°
Slip threshold
Output
CSV
Export ready
Parameters
Material Preset
Animate Sliding Block
Plane Friction Mechanics
Normal Force
F_N = m * g * cos(θ)
Parallel Force (Slip force)
F_|| = m * g * sin(θ)
Max Static Friction
F_s = μ_s * F_N
Acceleration (If F_|| > F_s)
a = (F_|| - μ_k * F_N) / m
With mass 50 kg at 30° incline, parallel sliding force is 245.2 N and max static friction is 169.9 N.
Since sliding force exceeds friction barrier, the block slides down the ramp with acceleration a = 2.36 m/s².
Inclined Wedge & Free Body Diagram
Block Acceleration
2.36m/s²
Parallel force
245.2N
Normal force
424.8N
Friction force
127.4N
Force & Slip profile relative to Plane Angle
Angle Sweep Calculations
| Angle (°) | Parallel Force (N) | Normal Force (N) | Friction Force (N) | Acceleration (m/s²) |
|---|---|---|---|---|
| 0° | 0.0 | 490.5 | 0.0 | 0.00 |
| 6° | 51.3 | 487.8 | 51.3 | 0.00 |
| 12° | 102.0 | 479.8 | 102.0 | 0.00 |
| 18° | 151.6 | 466.5 | 151.6 | 0.00 |
| 24° | 199.5 | 448.1 | 134.4 | 1.30 |
| 30° | 245.2 | 424.8 | 127.4 | 2.36 |
| 36° | 288.3 | 396.8 | 119.0 | 3.39 |
| 42° | 328.2 | 364.5 | 109.4 | 4.38 |
| 48° | 364.5 | 328.2 | 98.5 | 5.32 |
| 54° | 396.8 | 288.3 | 86.5 | 6.21 |
| 60° | 424.8 | 245.3 | 73.6 | 7.02 |
| 66° | 448.1 | 199.5 | 59.9 | 7.76 |
| 72° | 466.5 | 151.6 | 45.5 | 8.42 |
| 78° | 479.8 | 102.0 | 30.6 | 8.98 |
| 84° | 487.8 | 51.3 | 15.4 | 9.45 |
| 90° | 490.5 | 0.0 | 0.0 | 9.81 |