Tags: mass

Modeling Scenarios (1-12 of 12)

  1. 3-091-S-MassSpringExperiments

    14 Jan 2022 | | Contributor(s):: Bonnie Moon

    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.  Before this lab, students should have modeled spring-mass systems and solved second-order...

  2. 3-073-S-EarthQuake Part II

    06 Aug 2021 | | Contributor(s):: Tracy Weyand

    This modeling scenario considers a one-story building as a simple structure; the roof is modeled as a single point mass. Movement of the roof can be modeled similar to a mass-spring-damper system. In this activity, students will analyze motion of the roof under different damping and vibration...

  3. 3-072-S-EarthQuake Part I

    06 Aug 2021 | | Contributor(s):: Tracy Weyand

    This modeling scenario considers a one-story building as a simple structure; the roof is modeled as a single point mass. Movement of the roof can be modeled similar to a mass-spring system. In this activity, students will analyze the motion of the roof caused by ground movement. Here we...

  4. 1-128-S-RocketFlight

    04 Jun 2020 | | Contributor(s):: Brian Winkel

    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 fall to earth.

  5. 3-026-S-SpringInverseProblem

    29 May 2020 | | Contributor(s):: Brian Winkel

    We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.

  6. 1-083-S-FallingMeteorites

    24 Aug 2019 | | Contributor(s):: Lyle Clifford Smith

    After introducing the solution to the ordinary differential equation which models a falling object with drag (first-order, non-linear, separable), students will consider generalizing the model to a falling and disintegrating meteorite. The focus is on creative identification of factors. Students...

  7. 1-107-S-ClothDry

    27 Apr 2019 | | Contributor(s):: Brian Winkel

    We build a mathematical model for the rate at which drying takes place in a cloth wet with water while hanging in air. A model can be based on underlying physical principles. Such a model is called an analytic model. Or your model could be based on observations and reasoned terms in your...

  8. 3-101-S-SpringMassFirstTry

    22 Jul 2016 | | Contributor(s):: Keith Alan Landry, Brian Winkel

  9. 3-060-S-DataToDifferentialEquation

    24 Dec 2015 | | Contributor(s):: Eric Sullivan, Kelly Cline

    Students use their knowledge of second-order linear differential equations in conjunction with physical intuition of spring-mass systems to estimate the damping coefficient and spring constant from data. The data is presented as {%5Cit total distance traveled} instead of displacement so the...

  10. 1-011A-S-Kinetics

    06 Jun 2015 | | Contributor(s):: Karen Bliss

     Adapted from 1-11-Kinetics, SIMIODE modeling scenario.  We help students see the connection between college level chemistry course work and their differential equations coursework.  We do this through modeling kinetics, or rates of chemical reaction. We study zeroth, first, and...

  11. 1-019-S-RocksInTheHead

    04 Jun 2015 | | Contributor(s):: Brian Winkel

     We describe an experiment and offer data from a previously conducted experiment on the perception of the individual mass of a collection of rocks in comparison to a 100 g brass mass. We lead students to use the logistic differential equation as a reasonable model, estimate the parameters,...

  12. 1-011-S-Kinetics

    03 Jun 2015 | | Contributor(s):: Brian Winkel

    We help students see the connection between college level chemistry course work and their differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction. We offer many opportunities to model these chemical reactions with data, some of which comes from...