Fareed Mohmed← All physics

Physics, visually · Motion & Forces · Concept 03

Friction on a Slope

Why does a box stay put on a gentle ramp but suddenly slide when you tilt it a bit more?

Friction is a force that grows to match your push, but only up to a limit. Tilt the ramp and find that limit.

1Play
Pull down slope0
Max friction0
Status-
2Try this
  1. Choose Rubber, then raise the angle slowly with the slider until the block slips. Note the angle.
  2. Switch to Ice and repeat. The slipping angle is much smaller. Slippery surface, smaller friction limit.
  3. Change the mass at the same angle and surface. Does a heavier block slide sooner? (Watch the numbers: both forces grow together.)
3Remember it
Memory hook

Friction is a clingy friend: it holds on only up to a limit.

Gravity along the slope pulls the block down: mg sinθ. Friction holds back by up to μ mg cosθ. Pull bigger than the grip, and it slides. Mass cancels out, so only the angle and the surface decide.

Pull down the slopemg sinθ
Maximum frictionμ × N = μ mg cosθ
Slides whentanθ > μ (mass does not matter)
Static > kineticIt is harder to start something sliding than to keep it sliding
4See it in a machine

Conveyor inclines

Cleated or rubber belts raise μ so boxes do not slide back on an incline. Smooth belts need a smaller angle.

Brakes and tyres

Braking force is friction between tyre and road. Wet road: smaller μ, longer stopping distance.

Clamps and bolted joints

A bolted joint holds the load by friction between plates. Tighten more: bigger normal force, bigger grip.

5Check yourself