Banked-curve friction direction depends on speed

  1. 01

    The tempting model

    Assuming friction always points up or down a banked curve regardless of speed.

  2. 02

    Why it feels right

    Friction gets memorized as 'opposes motion,' but the car is moving around the curve, not up or down the slope.

  3. 03

    Where it breaks · how to catch it

    You choose friction direction before comparing speed to the no-friction design speed.

  4. 04

    The correct model

    On a banked curve, friction opposes impending slipping along the surface. Below design speed the car tends to slide down the bank, so friction points up; above design speed it points down.

  5. 05

    Repair · see it, then test it

    worked example A car takes a banked curve slower than the no-friction speed. Which way does static friction point?

    Tempting move

    Down the bank because the car moves forward.

    Correct move

    Up the bank, preventing the car from sliding inward/downward.

    Test the repair NL-18 · transfer
    A car takes a banked curve faster than the no-friction design speed. Static friction points:

    Make a fresh prediction before referring to the worked example.