WJEC Maths M3

Written: 25/03/2009 Last edited: 29/07/2009 Filed under: WJEC Mathematics A-level

This mechanics module has noticeably more emphasis on pure mathematics than the previous mechanics modules, and as a result is often either the most difficult or the most appealing of them, depending entirely on the individual.

(These pages are loosely based on the new 2009 specification.)

1 & 2 - Differential Equations & Rectilinear Motion

  • Separable 1st order equations. Forming and solving equations like v\frac{dv}{dx}=kv(1+v).
  • Acceleration functions. Forming and solving equations of motion where acceleration is a function of time, displacement or velocity, including use of \frac{d^{2}x}{dt^{2}}=\frac{dv}{dt}=v\frac{dv}{dx}.
  • Velocity functions. Forming and solving equations of motion where acceleration is a function of time or displacement.
  • 2nd order equations. Forming and solving equations like a\frac{d^{2}x}{dt^{2}}+b\frac{dx}{dt}+cx=dt+e

3 - Simple Harmonic Motion (SHM)

  • Differential equation. Being able to identify the SHM equation of motion, and extract period, amplitude, and give the solution in an appropriate form.
  • Damping. Being able to use damped forms of SHM.

4 - Impulsive Tensions

  • Motion of connected particles in 2 dimensions. Calculating immediate consequences of instantaneous impulses on particles.

5 - Statics

  • Equilibrium of single rigid body. Calculations based on individual rods on surfaces with friction.

WJEC Maths M3

Outline and detail

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