Pull needed for a 25 kg box up a 30° wooden ramp (μ = 0.4)

Answer: tension (with friction) = 207.511 N (tension (frictionless) 122.583 N).

What we know

  • Mass: 25 kg
  • Incline angle: 30°
  • Friction coefficient (μ): 0.4

Step by step

Given
m = 25 kg, θ = 30°, μ = 0.4
Formula
T = m·g·(sin θ + μ·cos θ)
Substitute
T = 25 × 9.80665 × (sin 30 + 0.4 × cos 30)
Result
T = 207.511 N

All results

Tension (with friction)207.511 N
Tension (frictionless)122.583 N

Open the incline tension calculator with these numbers → and change any of them.

The physics

A rope pulling a block up a slope has to fight two things: the component of gravity acting down the incline (mg·sin θ) and kinetic friction (μ·mg·cos θ), which also points down the slope while the block moves up. Add them and, for a rope parallel to the surface, T = m·g·(sin θ + μ·cos θ).