High School · Ages 14-18Grades 9-12 · IGCSE · AS & A-Level · IB DiplomaCore

 

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Setups other learners found interesting in Inclined Plane. Try one, then tweak it.

Inclined Plane

A block rests on a ramp. Gravity still points straight down, but the surface splits it into a component along the slope that drives sliding and a component into the slope that sets the normal force — and therefore the maximum friction. Change the angle to find the point where static friction can no longer hold the block.

Key formulas

  • F∥=mgsin⁡θF_\parallel = m g \sin\theta

    Weight along a slope

    F∥F_\parallel
    Force along the slopeN
    mm
    Masskg
    gg
    Gravitational accelerationm/s²
    θ\theta
    Slope angle°
    Open the formula card
  • N=mgcos⁡θN = m g \cos\theta

    Normal force on a slope

    NN
    Normal forceN
    mm
    Masskg
    gg
    Gravitational accelerationm/s²
    θ\theta
    Slope angle°
    Open the formula card
  • fs,max⁡=μsN=μsmgcos⁡θf_{s,\max} = \mu_s N = \mu_s m g \cos\theta

    Maximum static friction

    Open the formula card

What you can change

  • Mass
  • Plane angle
  • Static friction μₛ
  • Kinetic friction μₖ
  • Applied force
  • Gravity

Key concepts

  • Resolving weight into components
  • Normal force as a constraint
  • Static versus kinetic friction
  • The angle of repose, tan θ = μₛ