MathsYears 12–13Mechanics

Forces on inclined planes

Resolve forces on inclined planes; solve problems involving friction, weight components and equilibrium

What you'll learn

  1. 1

    Forces on a slope — think of a heavy box on a ramp. Gravity pulls it down, but the ramp pushes back at an angle. 😮

  2. 2

    On a frictionless ramp, which force makes the box slide down?

  3. 3

    Here's the box on a 30° ramp. Weight (mg) points straight down. The ramp pushes back with the normal force (N) perpendicular to the surface. 🔽

  4. 4

    A 5 kg box sits on a 20° frictionless ramp. Find the acceleration down the ramp.

  5. 5

    Set the ramp angle to 30° for a 3 kg box. What is the normal force? (N = mg cosθ)

  6. 6

    For a box on a 30° ramp, which is bigger: mg sin30° or mg cos30°?

  7. 7

    A 4 kg box on a 25° frictionless ramp. What is the component of weight parallel to the ramp? (sin25° = 0.423, g = 9.8 m/s²)

Practise Forces on inclined planes with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 16–18. Aligned to the UK National Curriculum.