You are here: Home / Resources / Browse Resources

Open. Adaptable. Free.

Resources created by our members and partners.

The QUBES platform hosts hundreds of teaching materials, reference materials, and cloud-based software free to use and adapt using open Creative Commons licenses.

Text Search:
Applied Filters
    2017-David_Morin-Oscillations
    So needless to say, an understanding of oscillations is required for an understanding of waves.

    Keywords: dampingfrequency responseresonanceoscillationbeatsunderdampingharmonic oscillatorsover dampingcritical damping

    153

    views

    75

    downloads

    0

    comments

    0

    adaptations

    3-055-FloatingBox-ModelingScenario
    In this scenario, we lead students through the process of building a mathematical model for a floating rectangular box that is bobbing up and down.

    Keywords: oscillationArchimedes’ Principlebuoancyoscillatory motionNewton's Second Law

    287

    views

    193

    downloads

    0

    comments

    0

    adaptations

    2013-Boscolo-Stellato-Undergraduate study of harmonic and parametric motion of a simple spring-mass system from motion waveforms
    In this paper, we describe a laboratory exercise that caters to beginning students while giving those with more background an opportunity to explore more complex aspects of the motion.

    Keywords: laboratoryexperimentspring massair frictionapparatuswaveforms

    170

    views

    45

    downloads

    0

    comments

    0

    adaptations

    1991-Carmine_Chicone-Ordinary Differential Equations with Applications
    This is a complete text for a graduate level course. Hence there is much theory, but there is a chapter on applications with some sophisticated approaches and high level modeling of motion.

    Keywords: orbitstwo mass systematommagnetic fieldcoupled penduluminverted pendulumcharged particleKepler motion

    127

    views

    51

    downloads

    0

    comments

    0

    adaptations

    2017-Ole_Witt-Hansen-Examples Of Differential Equations In Physics
    This is an article from the author’s homepage. The work contains fundamental and basic background and derivation of the differential equation models for a number of phenomena.

    Keywords: projectileair resistancefree falldragharmonic oscillation

    171

    views

    80

    downloads

    0

    comments

    0

    adaptations

    3-065-UpDown-ModelingScenario
    We model the height of a launched object which is subject to resistance proportional to velocity during its flight. We ask questions about the motion as well, e.g., highest point or apex and...

    Keywords: terminal velocityNewton's Second Law of Motionvelocitymotionapex

    1155

    views

    626

    downloads

    0

    comments

    0

    adaptations

    3-080-PendulumModeling-ModelingScenario
    We lead students through building model for several pendulum configurations in motion and ask students to compare results.

    Keywords: pendulumperiodlinearization

    258

    views

    376

    downloads

    0

    comments

    0

    adaptations

    2017-Craig_Tracy-Lectures on Differential Equations
    These notes are for a one-quarter course in differential equations. The approach is to tie the study of differential equations to specific applications in physics with an emphasis on oscillatory...

    Keywords: physicsoscillation

    166

    views

    55

    downloads

    0

    comments

    0

    adaptations

    5-015-RunnersSynchronize-ModelingScenario
    In this modeling scenario we practice finding and classifying equilibria of a one-variable differential equation. We do this in the context of a phase model which is often a simpler way of studying...

    Keywords: predatorAutonomous equationsoscillationcoupled oscillatorsynchronyrunnerpreyKuramato model

    217

    views

    299

    downloads

    0

    comments

    0

    adaptations

    3-033-S-TimeUpTimeDown-ModelingScenario
    We seek to compare for the time a projectile takes to go vertically up with the time it takes to return to its starting position.

    Keywords: projectile motionapexvertical motion

    513

    views

    178

    downloads

    0

    comments

    0

    adaptations

    1-043-CoolingUpAndDown-ModelingScenario
    We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.

    Keywords: temperatureoscillationNewton's Law of Coolingcoolingthermostatair conditioner

    348

    views

    218

    downloads

    0

    comments

    0

    adaptations

    1988- N_Koblitz-Problems that Teach the Obvious but Difficult
    Four problems are presented and two of them involve differential equations. These involve projectile motion in one and two dimensions.

    Keywords: projectile motion

    119

    views

    43

    downloads

    0

    comments

    0

    adaptations

    3-027-BobbingDropping-ModelingScenario
    We present two exercises in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law...

    Keywords: drug resistancedirectedbuoyancyfree fallstatic equilibriumdisplacement

    245

    views

    141

    downloads

    0

    comments

    0

    adaptations

    2009-Shamim-EtAl-Investigating viscous damping using a webcam
    We describe an experiment involving a mass oscillating in a viscous fluid and analyze overdamped, critically damped and underdamped regimes of harmonic motion.

    Keywords: laboratoryunderdampedoverdampedcritically dampedharmonic motionimage processingviscous fluid

    201

    views

    54

    downloads

    0

    comments

    0

    adaptations

    2002-Chai-Optimal initial angle to fire a projectile
    Assume a projectile is fired without air resistance and lands at a height y above its initial vertical position. What is the optimal initial angle of firing to maximize the horizontal distance...

    Keywords: optimizationprojectile motionlaunch angle

    139

    views

    44

    downloads

    0

    comments

    0

    adaptations

    Working with plant phenology data and fitting a nonlinear model using least squares in R
    A participatory live-coding lesson on working with NEON phenology data and fitting a sine-wave model to determine when different species get and lose their leaves.

    Keywords: modelingRphenologyNEONRstatscodeparticipatory live-coding

    3072

    views

    2237

    downloads

    0

    comments

    0

    adaptations

    2017-Bruce_Emerson-Wonderful World of Differential Equations
    This is a terrific set of noted with models and applications woven into the material at every opportunity and data as well. This is introductory differential equations with attention to detail and...

    Keywords: Newton's Second Law of MotionNewton's Law of CoolingreactionsPoiseuille’s Lawstopping distancerate of changeproblemsmodeling opportunities

    146

    views

    84

    downloads

    0

    comments

    0

    adaptations

    2017-Andras_Domokos-Differential Equations - Theory and Applications – Notes
    This is a terrific set of notes with models and applications woven into the material at every opportunity and data as well. This is introductory differential equations with attention to detail and...

    Keywords: Newton's Second Law of MotionNewton's Law of Coolingbiochemical reactionsPoiseuille’s Lawstopping distance

    168

    views

    67

    downloads

    0

    comments

    0

    adaptations

    2015-Peter_Cumber-Waggling pendulums and visualization in mechanics
    This article describes an equation of motion for a waggling pendulum.

    Keywords: resonanceinverted pendulummechanicsdamped pendulum

    112

    views

    62

    downloads

    0

    comments

    0

    adaptations

    2003-Fay-Graham-Coupled spring equations
    Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.

    Keywords: spring massoscillationHooke's Lawcoupled springsperiodicforcing functionphase portrait

    122

    views

    62

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search