A-level Mathematics/OCR/M2

< A-level Mathematics < OCR

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.

Centre of Mass
Equilibrium of a Rigid Body
Projectile Motion
Uniform Circular Motion
Impulse
Work, Energy and Power

Formulae

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

Projectile Motion

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

Work, Energy and Power

Gravitational Potential Energy (GPE): $E_{p}=mgh\,$
Kinetic Energy (KE): $E_{k}={\frac {1}{2}}mv^{2}$
Work done by a force: $W=Fd\cos \alpha \,$
Power of a moving force: $P=Fv\,$

Collisions

Newton's Experimental Law: Separation speed $=e\times$ Approach speed
It follows that the coefficient of restitution, $e={\frac {v_{2}-v_{1}}{u_{1}-u_{2}}}$

Centripetal motion

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

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