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CIE A Level Maths: Mechanics

Revision Notes

Home / A Level / Maths: Mechanics / CIE / Revision Notes / 3. Forces & Newton’s Laws / 3.1 Forces / 3.1.1 Force Diagrams


3.1.1 Force Diagrams


Force Diagrams

Why do we need force diagrams?

  • Force diagrams are used to help understand a given scenario and show which forces are acting on which particles and in which direction they are acting
  • In diagrams an arrow is used to represent a force acting on a particle which shows the direction in which the force is acting
  • The magnitude of the force is normally written next to its arrow

3-1-1-fig1-basic-force-diagrams

What types of forces could be involved?

  • Specific types of force encountered (which may not be mentioned in the question nor labelled on a given diagram) are: weight (W N), tension (T N), thrust (T N), friction (F N) and normal reaction (R N)

3-1-1-fig2-forces-on-a-block

  • Remember that the diagram is drawn to help understand the scenario - cars, blocks, etc are modelled as particles occupying a single point in space and so all forces acting on the car, block, etc act at that same single point
  • The main forces that you will see are:
    • tension (a “pulling” force) acts away from a particle,

      thrust (a “pushing” force) acts towards it

    • weight is W = mg where m kg  is the mass of the particle and g is the acceleration due to gravity – In the CIE A Level Mechanics modules the value of g is approximated to 10 space m space s to the power of negative 2 end exponent, unless told otherwise
    • friction acts parallel to the surface in the opposite direction to motion
    • the normal reaction acts perpendicular to the surface (and friction)

Worked Example

3.1.1_WE_Force_1

3-1-1-fig3-we-solution

Exam Tip

  • Always draw a force diagram if appropriate.
  • If a diagram is already given then add to it as you progress through the question.
  • If a diagram is too small or it gets too complicated then draw a new diagram.
  • You may be able to manage with just drawing the section of the diagram you are dealing with in any particular question part.


  • 1. Mechanics Toolkit
    • 1.1 Quantities, Units & Modelling
      • 1.1.1 Scalars & Vectors
        • 1.1.2 Fundamental Units
          • 1.1.3 Derived Units
            • 1.1.4 Types of Force
              • 1.1.5 Modelling Assumptions
            • 2. Kinematics (Straight Line Motion)
              • 2.1 Kinematics Graphs
                • 2.1.1 Displacement-Time Graphs
                  • 2.1.2 Velocity-Time Graphs
                    • 2.1.3 Drawing Travel Graphs
                    • 2.2 Variable Acceleration
                      • 2.2.1 Using Calculus in 1D
                      • 2.3 Constant Acceleration
                        • 2.3.1 Deriving the suvat Formulae
                          • 2.3.2 suvat in 1D
                            • 2.3.3 Acceleration due to Gravity
                          • 3. Forces & Newton’s Laws
                            • 3.1 Forces
                              • 3.1.1 Force Diagrams
                                • 3.1.2 Equilibrium in 1D
                                  • 3.1.3 Equilibrium in 2D
                                  • 3.2 Newton's Second Law
                                    • 3.2.1 F = ma
                                      • 3.2.2 Connected Bodies - Ropes & Tow Bars
                                        • 3.2.3 Connected Bodies - The Lift Problem
                                          • 3.2.4 Connected Bodies - Pulleys
                                          • 3.3 Further Forces & Newton's Laws
                                            • 3.3.1 Resolving Forces & Inclined Planes
                                              • 3.3.2 Coefficient of Friction
                                                • 3.3.3 Coefficient of Friction - F = ma
                                                  • 3.3.4 Coefficient of Friction - Inclined Planes
                                                    • 3.3.5 Coefficient of Friction - Harder Problems
                                                  • 4. Energy, Work & Power
                                                    • 4.1 Work & Energy
                                                      • 4.1.1 Work
                                                        • 4.1.2 Energy
                                                          • 4.1.3 Energy Principles
                                                          • 4.2 Power
                                                            • 4.2.1 Power
                                                          • 5. Momentum
                                                            • 5.1 Momentum & Collisions
                                                              • 5.1.1 Momentum
                                                                • 5.1.2 Direct Collisions
                                                                  • 5.1.3 Collisions - Multiple Collisions


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                                                                Author: Amber

                                                                Amber gained a first class degree in Mathematics & Meteorology from the University of Reading before training to become a teacher. She is passionate about teaching, having spent 8 years teaching GCSE and A Level Mathematics both in the UK and internationally. Amber loves creating bright and informative resources to help students reach their potential.


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