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] Contents

  1. Centre of Mass Development stage: 00% (as of Dec 14, 2005)
  2. Equilibrium of a Rigid Body Development stage: 00% (as of Dec 14, 2005)
  3. Projectile Motion Development stage: 00% (as of Dec 14, 2005)
  4. Uniform Circular MotionDevelopment stage: 00% (as of Dec 14, 2005)
  5. Impulse Development stage: 00% (as of Dec 14, 2005)
  6. Work, Energy and PowerDevelopment stage: 00% (as of Dec 14, 2005)

[edit] Formulae

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

[edit] Projectile Motion

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

[edit] Work, Energy and Power

  • 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 \,

[edit] Collisions

  • 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}


[edit] Centripetal motion

  • Using F=ma\,, and a=r\omega^2\, , F=m\omega^2r\,
  • a=\frac{v^2}{r}
  • Failed to parse (unknown function\math): v=r\omega\,<\math>
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