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
    3-002-ModelsMotivatingSecondOrder-ModelingScenario
    Ordinary differential equations involve second derivatives and second derivatives appear in many contexts, chief among them are the study of forces and resulting motion. This is principally because...

    Keywords: resistancespring massoscillationHooke's Lawdampening

    605

    views

    815

    downloads

    0

    comments

    0

    adaptations

    3-015-StyrofoamBallFall-ModelingScenario
    We are given data on a falling Styrofoam ball and we seek to model this motion.

    Keywords: footballresistancegravityfalling bodysum of square errorsNewton's Second Law of Motionsum of forcesstyrofoam

    291

    views

    154

    downloads

    0

    comments

    0

    adaptations

    3-054-Relay-ModelingScenario
    We use a differential equations of one dimensional projectile motion and an integration of velocity for total distance to model the relay between an outfielder and an infielder in throwing the ball...

    Keywords: distanceprojectile motionrelaytimebaseballoutfieldhome plateminimization

    351

    views

    213

    downloads

    0

    comments

    0

    adaptations

    3-091-SpringModeling-ModelingScenario
    In this lab students will collect data on their spring mass systems and compare their empirical models to their theoretical ones—giving them an opportunity to actually test a model against data.

    Keywords: datalaboratoryLoggerProVerniermass-spring systemmodel validationempirical modeltheoretical model

    264

    views

    140

    downloads

    0

    comments

    0

    adaptations

    4-036-AltitudeDependentGravity-ModelingScenario
    When projectiles are way above Earth's surface gravity's changes become important when dealing with projectiles at high altitudes. We lay out an approach for such a case which is a second-order...

    Keywords: agravityprojectilelinearizationltitufealtitude

    206

    views

    235

    downloads

    0

    comments

    0

    adaptations

    3-020-ChordPathTime-ModelingScenario
    Using Newton's Second Law of motion we can determine the time it takes for a mass to slide along a chord of a vertical circle from high point to any point along the circle. Initially, the result is...

    Keywords: Unit CirclepathfallinggravitychordNetwon's Second Law of Motion

    208

    views

    113

    downloads

    0

    comments

    0

    adaptations

    2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
    In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in...

    Keywords: population dynamicsecologydynamicsclassical mechanicschemical reaction

    172

    views

    71

    downloads

    0

    comments

    0

    adaptations

    1980-Peastrel-Lynch-Armenti-Terminal_velocity_of_a_shuttlecock_in_vertical_fall
    This paper offers a set of data on a falling shuttlecock (the moving object in badminton) in air. How the authors collected the data is described fully and can be replicated easily by modern...

    Keywords: parameter estimationdata collectionresistancefallingterminal velocityNewton's Second Law of Motionshuttlecock

    158

    views

    47

    downloads

    0

    comments

    0

    adaptations

    5-040-TunedMassDamper-Part-I-Modeling Scenario
    We offer an opportunity to build mathematical models to mitigate dangerous displacements in structures using structural improvements called Tuned Mass Dampers. We model the motion of the original...

    Keywords: structurespring-mass-dashpotspring massearthquakevibrationtuned mass tunerrestoring forcecontroldampe

    529

    views

    1329

    downloads

    0

    comments

    0

    adaptations

    3-043-BallisticModeling-SpongeDart-ModelingScenario
    The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance.

    Keywords: projectile motionair resistanceballisticsdimensional analysisNewtonian mechanicssponge dartNerf gunNerf dartBuckingham's Theorem

    659

    views

    712

    downloads

    0

    comments

    0

    adaptations

    1-047-Condensation-ModelingScenario
    We simulate the random motion of 200 particles in a 50 by 50 square in which a particle bounces off the two vertical and top walls and condenses on the bottom wall. Animations are produced and...

    Keywords: simulationsum of square errorscondensationbest fit

    368

    views

    891

    downloads

    0

    comments

    0

    adaptations

    1-092-DashItAll-ModelingSenario
    This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. We derive the classic Hill-Keller model for a sprinter exerting...

    Keywords: datarunningsprintHill-Kellerworld recordOlympics

    363

    views

    206

    downloads

    1

    comments

    0

    adaptations

    1-105-AnimalFall-ModelingScenario
    This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.

    Keywords: animalNetwon's Second Law of Motionfalling bodyterminal velocityair resistanceNewtonair frictionfall

    330

    views

    149

    downloads

    0

    comments

    0

    adaptations

    3-090-OneSpringMass-ModelingScenario
    We lead students through building a mathematical model for a single mass (bob)-spring system that is hanging vertically. We also lead the students, using data that they collect together with their...

    Keywords: undampedsum of square errorsmass springHooke's Lawoscilationleast-squares approximation

    264

    views

    418

    downloads

    0

    comments

    0

    adaptations

    6-012-RiverCrossing-ModelingScenario
    Students develop a model of a river crossing in a boat with thrust using Newton's Second Law of Motion from a Free Body Diagram they construct. The model is thence a system of one second order...

    Keywords: dragonNewton's Second Law of Motionriver crossinriver currentvelocity profilethrustFree Body Diagram

    267

    views

    159

    downloads

    0

    comments

    0

    adaptations

    9-012-PDEGuitarTuning-ModelingScenario
    We lead students through a derivation of a partial differential equation which models the motion of a string held at both ends, a case of the one-dimensional wave equation, and then play it on...

    Keywords: extensionsine wavesfrequencyguitardampingFourierstringtuning

    314

    views

    198

    downloads

    0

    comments

    0

    adaptations

    3-051-ProjectileMotions-ModelingScenario
    We consider several instances of projectile flight without resistance, one on level ground and one from edge of cliff to determine maximum distance and placement.

    Keywords: trajectorylaunching radiantprojectile motionprojectileno resistanceangle of launch

    1086

    views

    175

    downloads

    0

    comments

    0

    adaptations

    3-052-OptimalProjectileFiring-ModelingScenario
    We offer the opportunity to model a projectile's trajectory in several cases, all without resistance.

    Keywords: projectile motionprojectilelaunch anglemaximum range

    175

    views

    57

    downloads

    0

    comments

    0

    adaptations

    Mitosis and Meiosis Resources
    New stop-motion ‘candymation’ videos of mitosis and meiosis, plus Instructor Guides and problem sets.

    Keywords: meiosislearningmitosisanimationscell division mechanismschromosomes

    437

    views

    555

    downloads

    0

    comments

    0

    adaptations

    1-008-HangTime-ModelingScenario
    We present a modeling opportunity for students in which they model the vertical position of a basketball player taking a jump shot. The goal of the scenario is to get students to consider the...

    Keywords: gravityhang timNewton's Second Law of Motionjump shot

    608

    views

    235

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search