Sadly I did not scan in my paper notes for this class, so all I have is this small cheatsheet.

# Units

## Fundamental Units

## Derived Units

## SI Prefixes

# Kinematics

## Equations

• $v_f=v_i+at$
• $x_f=x_i+v_{i}t+\frac{1}{2}a{t}^2$
• $\overline{v}=\frac{v_f+v_i}{2}$
• $x_f=x_i+(\frac{v_{x,f}+v_{x,i}}{2})t$
• $v_f^2=v_i^2+2a(x_f-x_i)$

## Constants

• $g_{earth}=9.80m/s^2$

# Rotation

## Variables

## Equations

• $\omega =\frac{2\pi }{T}$
• $v=\frac{2\pi r}{T}$
• $a_c=\frac{v^2}{r}$
• $T=\frac{2\pi r}{v}$
• $F=\frac{1}{T}$
• $\tau =I\alpha$
• $I=I_{CM}+M{D}^2$ (Parallel Axis Theorem)
• ${\omega }_f={\omega }_i+at$
• ${\theta }_f={\theta }_i+{\omega }_{i}t+\frac{1}{2}\alpha t^2$
• $\overline{\omega }=\frac{{\omega }_f+{\omega }_i}{2}$
• ${\theta }_f={\theta }_i+(\frac{{\omega }_f+{\omega }_i}{2})t$
• ${\omega }_f^2={\omega }_i^2+2\alpha ({\theta }_f-{\theta }_i)$

### Common Moments of Inertia

## Vocab

• Lever/Moment Arm: The perpendicular distance between the axis of rotation and the application of force.
  • AKA: The part that matters.

# Newtonian Physics

## Principles

• Archimedes' Principle (for buoyancy): The buoyant force is the weight of the fluid displaced.

## Laws

1. $\sum \overrightarrow{F}=0⟹\overrightarrow{a}=0$
2. $\sum \overrightarrow{F}=m\overrightarrow{a}=\frac{d}{dt}(m\overrightarrow{v})$
3. Equal and opposite reaction.

## Types of Forces

• Contact: Objects must be touching to have an effect
  • Normal/Flex: Perpendicular to plane, prevents clipping.
  • Tension: From rope or rope-like objects.
  • Friction: Opposes motion of body against another.
  • Spring: Seeks equilibrium in springs.
  • Buoyant: Pushes things with/against gravity depending on density.
• Field: Acts even without touching.
  • Gravitational: Pull all material objects together.
  • Electromagnetic: Pull/push magnetic things.

## Equations for Forces

# Energy

## Vocabulary

• Energy: The ability to do work.
• Work: A measure of change of state and its associated difficulty in a system.

## Principles

• Energy in a system is constant unless is receives some work external to the system or does some work external to the system.

## Variables

## Equations

• $E=\overrightarrow{F}\cdot \overrightarrow{r}$
• $E_f=E_i+W$
• $W_f=\int !f,\mathrm{d}r$

### Energy Equations