M2

From KS5 Mathematics
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Centre of Mass

  • Centre of mass of a discrete mass distribution in one or two dimensions
  • Centre of mass of uniform plane figures and simple composite plane figures
  • Equilibrium of a plane lamina

Collisions

  • The impulse-momentum principle (in vector form)
  • Conservation of linear momentum
  • Newton's law of restitution for impact of elastic particles
  • Loss of mechanical energy due to impact
  • Successive impacts of up to three particles or two particles and a smooth plane surface

Kinematics

  • Motion in a vertical plane with constant acceleration, e.g. under gravity
  • Simple cases of motion of a projectile
  • Velocity and acceleration when displacement is a function of time
  • Differentiation and integration of a vector wrt time

Statics

  • Moment of a force
  • Equilibrium of rigid bodies

Work, Energy and Power

  • Kinetic and potential energy
  • Work and power
  • The work-energy principle
  • Principle of conservation of mechanical energy