Resources

Text Search:
Applied Filters
    Free Online Textbook
    127

    views

    51

    downloads

    0

    comments

    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.
    Potential Scenario
    171

    views

    80

    downloads

    0

    comments

    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.
    Modeling Scenario
    258

    views

    377

    downloads

    0

    comments

    3-080-PendulumModeling-ModelingScenario
    We lead students through building model for several pendulum configurations in motion and ask students to compare results.
    Modeling Scenario
    513

    views

    178

    downloads

    0

    comments

    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.
    Potential Scenario
    154

    views

    75

    downloads

    0

    comments

    2017-David_Morin-Oscillations
    So needless to say, an understanding of oscillations is required for an understanding of waves.
    Potential Scenario
    119

    views

    43

    downloads

    0

    comments

    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.
    Modeling Scenario
    246

    views

    142

    downloads

    0

    comments

    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 of Motion and Archimedes' Principle.
    Potential Scenario
    169

    views

    67

    downloads

    0

    comments

    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 motivation.
    Potential Scenario
    112

    views

    62

    downloads

    0

    comments

    Potential Scenario
    158

    views

    49

    downloads

    0

    comments

    2009-Reid-King-Pendulum Motion and Differential Equations
    This article presents a relatively simple, real-world example that instructors can use in the classroom to let students explore the effect of simplifying assumptions on a model’s ability to reflect real-world behavior.
    Modeling Scenario
    205

    views

    213

    downloads

    0

    comments

    3-095-ShotInWater-ModelingScenario
    This project uses Newton's Second Law of Motion in conjunction with a quadratic model for the resistance experienced by a bullet moving through water to analyze a classic action movie scene.
    Potential Scenario
    167

    views

    47

    downloads

    0

    comments

    2006-Matt_MacWilliams-Developing ODEs to Describe the Motion of a Paper Helicopter
    This paper attempts to create a model that describes the motion of a paper helicopter using engineering, physical and statistical knowledge.
    Potential Scenario
    162

    views

    43

    downloads

    0

    comments

    2014-Brun-EtAl-An introduction to the mechanics of the lasso
    Here, we study the mechanics of the simplest rope trick, the Flat Loop, in which the rope is driven by the steady circular motion of the roper’s hand in a horizontal plane.
    Potential Scenario
    200

    views

    85

    downloads

    0

    comments

    2009-Peter-Howard-Modeling With ODE
    This is a set of class notes rich in examples and ideas for modeling. There is some MatLab code in support of some of the activities.
    Potential Scenario
    192

    views

    44

    downloads

    0

    comments

    1994-Roland_Minton-A Progression of Projectiles-Examples from Sports
    There is a progression of complexity and issues in projectile motion modeling from no resistance, to resistance proportional to velocity, then to velocity squared,
    Potential Scenario
    133

    views

    73

    downloads

    0

    comments

    2015-Pendrill-Eager-Free fall and harmonic oscillations analyzing trampoline jumps
    In this work, the motion on a trampoline is modelled by assuming a linear relation between force and deflection, giving harmonic oscillations for small amplitudes.
    Article or Presentation
    143

    views

    50

    downloads

    0

    comments

    2014-C_W_Groetsch-S_A_ Yost-Vertical Projection_in_a_Resisting_Medium_Revelations_on_Observations_of_Mersenne
    This article, inspired by a 17th-century woodcut, validates empirical observations of Marin Mersenne (1588–1648) on timing of vertically-launched projectiles for a general mathematical model of resistance.
    Free Online Textbook
    239

    views

    75

    downloads

    0

    comments

    2011-Richard_Fitzpatrick-Newtonian_Dynamics
    This 300 page text is packed with motivational physics. Indeed, Professor Fitzpatrick brings us to the origins of why differential equations are the dominant tools of mathematics in the study of motion.
    Modeling Scenario
    792

    views

    372

    downloads

    1

    comments

    1-128-RocketFlight-ModelingScenario
    We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its...
    Modeling Scenario
    280

    views

    167

    downloads

    0

    comments

    3-045-RampBounce-ModelingScenario
    Students build two projectile motion models (1) a one-dimensional model for a vertically falling ball from a fixed distance until it hits an inclined ramp and (2) a two-dimensional projectile motion model of the ball bouncing off the ramp.