Overview and Authoring Guidelines

## The PICUP Collection of Exercise Sets

The fundamental unit of the PICUP collection of educational materials is the "Exercise Set". All Exercise Sets are peer-reviewed and adaptable for faculty use. Standard Exercise Sets use numerical approaches that can be adapted to multiple platforms and Specialized Exercise Sets take advantage of particular computational platforms.

Exercise Type Any
Course Level Any
Subject Any
Programming Language Any
more

## 36 Exercise Sets

Mechanics

### A Rigid Three-bar Pendulum

Beyond the First Year Mechanics

Developed by Ernest Behringer

Example Implementation: Python

### Binary Stars with Equivalent One Body Problem

Beyond the First Year Mechanics

Developed by Aaron Titus

Example Implementation: IPython/Jupyter Notebook

### Center of Mass for Point Particles

First Year Mechanics

Developed by Deva O'Neil

### Computing the 1-D Motion of a V2 Rocket

First Year and Beyond the First Year Mechanics

Developed by David Marasco

Example Implementations: Spreadsheet, Glowscript, and MATLAB

### Double Pendulum

Developed by Derrick Hylton

Example Implementation: IPython/Jupyter Notebook

### Energy and Phase Space of a Damped Oscillator

Beyond the First Year Mechanics

Developed by Deva O'Neil

Example Implementations: Glowscript, IPython/Jupyter Notebook, and Mathematica

### Falling Sphere with Air Resistance Proportional to $v^2$

First Year and Beyond the First Year Mechanics

Developed by Kelly Roos

Example Implementations: C/C++, Fortran, Glowscript, Haskell, IPython/Jupyter Notebook, Mathematica, MATLAB, Python, and Spreadsheet

### Falling through a non-uniform Earth

First Year Mechanics

Developed by Karl Henrik Fredly and Tor Ole Odden

Example Implementation: IPython/Jupyter Notebook

### Foucault Pendulum

Beyond the First Year Mechanics

Developed by Andy Rundquist

Example Implementation: Mathematica

### Harmonic and Anharmonic Oscillations of a Boat

First Year and Beyond the First Year Mechanics

Developed by Eric Ayars

Example Implementations: Python, Easy Java Simulations, IPython/Jupyter Notebook, and Mathematica

### How far would a skydiver have to fall to break the sound barrier in a non-uniform atmosphere?

First Year Mechanics

Developed by Karl Henrik Fredly and Tor Ole Odden

Example Implementation: IPython/Jupyter Notebook

### Lagrangian dynamics

Beyond the First Year and Advanced Mechanics

Developed by Andy Rundquist

Example Implementation: Mathematica

### Making Animations with Potential Energy

First Year and Beyond the First Year Mechanics

Developed by W. Brian Lane

Specialized Programming Language: Glowscript

### Physical Pendulum without Small Angle Approximation

First Year and Beyond the First Year Mechanics

Developed by Gautam Vemuri and Andy Gavrin

Specialized Programming Language: MATLAB

### Plane Rigid Pendulum

First Year and Beyond the First Year Mechanics

Developed by Kelly Roos

Example Implementations: C/C++, Easy Java Simulations, Fortran, IPython/Jupyter Notebook, Mathematica, MATLAB, Python, and Spreadsheet

### Planetoids with Momentum!

High School and First Year Mechanics

Developed by Christopher Orban

Example Implementation: Javascript

### Planetoids with Torque!

High School and First Year Mechanics

Developed by Christopher Orban

Specialized Programming Language: Javascript

### Simple Hanging Harmonic Oscillator

First Year and Beyond the First Year Mechanics

Developed by Kelly Roos

Example Implementations: C/C++, Easy Java Simulations, Fortran, Glowscript, IPython/Jupyter Notebook, Mathematica, MATLAB, Python, and Spreadsheet

### Snowboard Jumping and Newton’s Second Law

First Year Mechanics

Developed by Michael (Mick) O'Shea

Example Implementations: Python, IPython/Jupyter Notebook, and VPython

### Space Elevator - Analyzing Stress

First Year and Beyond the First Year Mechanics

Developed by Larry Engelhardt

Example Implementations: IPython/Jupyter Notebook, Python, and Spreadsheet

### Traveling to Mars

First Year and Beyond the First Year Mechanics

Developed by Aaron Titus

Example Implementations: Glowscript and Easy Java Simulations

### Projectile Motion: Experiment and Computational Model

First Year Mechanics and Experimental / Labs

Developed by Todd Zimmerman

Example Implementations: Glowscript, IPython/Jupyter Notebook, Sage Worksheet, and Easy Java Simulations

### Study of rectilinear motion with a smartphone: Elevators and Slides

First Year Mechanics and Experimental / Labs

Developed by Amador García Fuente, María Rita Sierra Sánchez, Maria Velez, and Maria Rosario Diaz Crespo

Example Implementations: Octave and Python

First Year and Beyond the First Year Mechanics and Mathematical / Numerical Methods

Developed by Steve Robinson

### Lunar Lander

First Year and Beyond the First Year Mechanics and Programming Introductions

Developed by Aaron Titus

Example Implementations: Glowscript and Easy Java Simulations

### Move the Blob!

High School Mechanics and Programming Introductions

Developed by Christopher Orban

Example Implementation: Javascript

### 2-Body Gravitation

First Year and Beyond the First Year Mechanics and Astronomy

Developed by Walter Freeman and Kelly Roos

Example Implementations: Mathematica, MATLAB, Python, Glowscript, and Spreadsheet

### Binary Orbit Inspirals Due to Gravitational Radiation

First Year and Beyond the First Year Mechanics and Astronomy

Developed by Robert Hilborn

Example Implementations: Glowscript and Mathematica

### Finding the Earth-Sun Lagrange Points

Beyond the First Year and Advanced Mechanics, Mathematical / Numerical Methods, and Astronomy

Developed by Nicholas Nelson

Example Implementation: Python

### Gravitational Waves from Binary Orbits

First Year and Beyond the First Year Mechanics and Astronomy

Developed by Robert Hilborn

Example Implementations: Glowscript and Mathematica

### Gravitational stability of a planet within its rings

Beyond the First Year Mechanics and Astronomy

Developed by Michael Massa

Example Implementation: Python

### Cliff Diving and Quadratic Drag

First Year Mechanics, Experimental / Labs, and Fluids

Developed by Peter Bryant

Example Implementations: IPython/Jupyter Notebook and Spreadsheet

### Efficiency of a Water Turbine (3D Printing Lab)

First Year Mechanics, Experimental / Labs, and Fluids

Developed by Deva O'Neil, Benjamin Hancock, and Benjamin Hanks

### Investigating Torque with 3D Printed Waterwheels

First Year Mechanics, Experimental / Labs, and Fluids

Developed by Benjamin Hancock, Deva O'Neil, and Hannah McPherson

### Pascal’s Law and the Origin of Buoyancy

First Year Mechanics and Fluids

Developed by Deva O'Neil

Example Implementation: Glowscript

### What a Drag: A Projectile Motion Game with Air Resistance

First Year and Beyond the First Year Mechanics and Fluids

Developed by Steve Robinson

Example Implementation: Glowscript