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Forces and Motion: The Toolkit That Solves Most Mechanics Questions

May 9, 2026 · 5 min · forces and motion · mechanics · physics A Level

Almost every mechanics question on a physics paper falls into one of five problem types. Recognise the type, reach for the right technique.

1. Single object on a flat surface

  • Free body diagram with all forces
  • Apply F = ma
  • Solve

2. Inclined plane

  • Resolve gravity along the slope (mg sin θ) and perpendicular to it (mg cos θ)
  • Friction acts up the slope if the object slides down
  • Apply F = ma along the slope

3. Pulley problems

  • Two objects connected by a rope over a pulley
  • Same magnitude of tension in the rope
  • Same magnitude of acceleration (one up, the other down)
  • Apply F = ma to each object separately, solve simultaneously

4. Circular motion

  • Net force points toward the centre (centripetal)
  • F = mv²/r
  • Common cases: car on a banked road, satellite in orbit, ball on a string

5. Kinematics with constant acceleration

  • Use SUVAT equations: s = ut + ½at², v² = u² + 2as, v = u + at
  • Identify which two of s, u, v, a, t are given, pick the equation that uses them

The four-step routine that works for all five

  1. Draw the free body diagram (every force acting on every object)
  2. Identify the question type (which of the five above?)
  3. Write the equation
  4. Solve

Common pitfalls

  • Missing a force on the diagram
  • Wrong sign convention (pick a direction as positive and stick to it)
  • Mixing up speed and velocity
  • Using SUVAT when acceleration isn't constant

Practice mechanics questions →