December 8, 2019

# Optics

These notes are about mirrors and thin lenses. Remember also your lab on Snell’s Law.

# The Bohr Atom

## Derivation

A white-board derivation in less than five pages starting from Bohr’s quantization of angular momentum for an electron bound to a proton by the Coulomb force. By the end we have the energy levels and the radii of excited states for hydrogen.

# SHM: Simple Harmonic Motion

## The Pendulum

The Simple Pendulum, the Torsional Pendulum and the Physical Pendulum are shown to follow the same same mathematics as a mass on a spring. The natural angular frequency and period of SHM are determined.

## Springs

Springs and SHM. Potential energy in a spring. Conservation of energy with springs.

## The Basics

The relationship between SHM and UCM (Uniform Circular Motion). The basic parameters. Relationship to calculus. The simple mass on a spring.

# Parallel Axis Theorem & Rotational KE

## Moment of Inertia

Motivated by looking at total kinetic energy for rigid-body motion. A quick example given.

# Rotational Dynamics

## Moment of Inertia

Motivated by looking at total kinetic energy for rigid-body motion. A quick example given.

## Cross Product & Torque

A quick refresher on dot product. Magnitude and direction of the cross product, properties of the cross product and unit-vector notation.

# Rotational Kinematics

## Definitions & Equations

A comparison with the linear variables and equations.

# Uniform Circular Motion

## Introduction

Very basic formulas:

A couple of problems:

# Momentum

## Collisions

Elastic and inelastic collisions.

## Introduction to Momentum

Momentum, Force and Impulse.

# Work, Energy & Power

## WEP – Part II

Gravitational Potential Energy, Fields, Potential Energy Curves, Conservative & Non-Conservative Forces

## WEP – Part I

Work, Kinetic Energy, Work-Energy Theorem, Potential Energy, Gravitational Potential and Fields:

# Dynamics

## Friction & Inclines

It’s getting more interesting!

## Free-Body Diagrams

More complex problem solving including multiple bodies.

## Force Problems

Some easier applications of the second law.

## Newton’s Laws

Inertia, F = ma, equal and opposite forces.

## Distance Problems Involving Quadratic Roots

Looking for a single root, interpreting multiple roots.

## The Range Equation

The distance traveled, the maximum height, the time of flight and the angle of impact for a projectile – no numbers!

## Motion in 2D & Projectile Motion

The equations with easier applications

Projectile Motion

## When & where do they meet?

Strategy for collision problems. Write equations for position, solve for intersection. How many solutions?

## Motion Graphs

Motion Graphs with derivations of one-dimensional kinematic equations.

Day 1 …

## Circle Relationship Lab

Notes on the log plot and on computing pi.

Spreadsheet with idealized data and sample plots.
Word document showing section headings, embedded plots, etc. 