A-level Mathematics/OCR/M2

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This is the Mechanics 2 module of the OCR A-level Mathematics book. This module assumes that you are familiar with the C1, C2, C3, C4 and M1 modules. Please post all questions to A-level Mathematics/Discussion.

Contents[edit]

  1. Centre of Mass 0% developed  as of Dec 14, 2005
  2. Equilibrium of a Rigid Body 0% developed  as of Dec 14, 2005
  3. Projectile Motion 0% developed  as of Dec 14, 2005
  4. Uniform Circular Motion0% developed  as of Dec 14, 2005
  5. Impulse 0% developed  as of Dec 14, 2005
  6. Work, Energy and Power0% developed  as of Dec 14, 2005

Formulae[edit]

By the end of this module you will be expected to have learnt the following formulae:

Projectile Motion[edit]

  • Equation of Trajectory: y = x \tan \theta - \frac {g x^2}{2 V^2 \cos ^2 \theta}

Work, Energy and Power[edit]

  • Gravitational Potential Energy (GPE): E_p = m g h\,
  • Kinetic Energy (KE):  E_k = \frac{1}{2} mv^2
  • Work done by a force:  W = F d\cos \alpha \,
  • Power of a moving force:  P = Fv \,

Collisions[edit]

  • Newton's Experimental Law: Separation speed  = e \times Approach speed
  • It follows that the coefficient of restitution, e =\frac{v_2-v_1}{u_1-u_2}

Centripetal motion[edit]

  • Using F=ma\,, and a=r\omega^2\, , F=m\omega^2r\,
  • a=\frac{v^2}{r}
  • v=r\omega\,