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Modeling Scenario

287

views

193

downloads

0

comments

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.

oscillationArchimedes’ Principlebuoancyoscillatory motionNewton's Second Law

Modeling Scenario

210

views

239

downloads

0

comments

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 differential equation.

agravityprojectilelinearizationltitufealtitude

Modeling Scenario

365

views

367

downloads

0

comments

1-120-CircularRollerCoaster-ModelingScenario

Students study the dynamics of a circular roller coaster and work out the equations of motion in the ideal case as well as considering the interesting complication of including kinetic friction. This problem is an excellent introduction for students

population dynamicsenergyFluid Mechanicsmfrictionroller coasterintegration by8 parts

Modeling Scenario

268

views

115

downloads

0

comments

3-085-SimplePendulum-ModelingScenario

Thestudent is asked to derive and solve a differential equation that gives the position (angle

Newton's Second Law of Motionpendulumkinetic energypotential energyConservation of Energytinitial conditionssmall angle approximationTaylor polynomialpercent error

Modeling Scenario

213

views

141

downloads

0

comments

3-140-TwoSpringsOneMassFixedEnds-ModelingScenario

Students build a model of a two spring, single mass with fixed end configuration and then plot solutions to experience the motion.

massundampedFree Body Diagramspringstwo springsoscillationspring constantfixed ends

Modeling Scenario

399

views

419

downloads

0

comments

3-101-SpringMassFirstTry-NoResistance-ModelingScenario

Students build a model based on their perceptions of what the solution should look like for a simple spring mass system with no damping.

frequencymassoscillationundampedspring constantspring\Single Degree of Freedom System

Modeling Scenario

333

views

160

downloads

0

comments

3-102-SpringMassDamped-ModelingScenario

Students build a model based on their perceptions of what the solution should look like for a simple spring mass system with damping.

frequencymassoscillationstiffnessspring constantspring\dampedSingle Degree of Freedom Systemcoefficient

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