A-level Mathematics/OCR/M2

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

1. /Centre of Mass/ Template:Stage short
2. /Equilibrium of a Rigid Body/ Template:Stage short
3. /Projectile Motion/ Template:Stage short
4. /Uniform Circular Motion/Template:Stage short
5. /Impulse/ Template:Stage short
6. /Work, Energy and Power/Template:Stage short

Formulae

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

Projectile Motion

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

Work, Energy and Power

• Gravitational Potential Energy (GPE): $E_p=mgh$
• Kinetic Energy (KE): $E_k=\frac{1}{2}m{v}^2$
• 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 $a=r{\omega }^2$ $,F=m{\omega }^{2}r$
• $a=\frac{v^2}{r}$
• $v=r\omega$