A-level maths / Applied Year 1
Modelling in mechanics
Translate a physical problem into a useful model, then check what its answers mean.
Work at your own pace through the available lessons, with manual models, short animations and independent questions.
- The mechanics modelling cycleTurn a real motion question into assumptions, variables and equations, then test the prediction and refine the model.
- Domains and validity of mechanics modelsFind when a motion formula applies, choose physically relevant roots and distinguish a negative coordinate from an impossible prediction.
- Particles, rods and modelling assumptionsChoose between particle, rod and lamina models and distinguish light, rigid, uniform and negligible-drag assumptions.
- Strings, pulleys, beads and pegsSeparate light, taut, inextensible and smooth assumptions, and use a fixed-pulley string-length constraint without overgeneralising.
- SI units and compound conversionsConvert mechanics quantities carefully, distinguish mass from weight, and check powers of units in speed, acceleration, area and density.
- Recognising forces and drawing diagramsDraw forces on one chosen body, distinguish contact forces from weight and avoid confusing motion arrows with force arrows.
- Scalars and vectors in mechanicsDistinguish scalar quantities from vectors, use a clear reference direction and avoid classifying quantities by positivity alone.
- Signs of velocity and accelerationUse a chosen axis to distinguish direction of motion from speeding up or slowing down, including zero velocity and reversal.
- Vector magnitudes and directions in mechanicsFind speed and other vector magnitudes from perpendicular components, choose the correct quadrant and state the angle reference explicitly.
- Distance and displacement on a journeyAdd vector changes for net displacement and straight-leg lengths for total distance, including return trips and average velocity.
- Modelling in mechanics: mixed practiceTwenty-four independent questions combining model domains, idealisations, SI units, force diagrams, motion signs and vector journeys.