## Resources

##### Text Search:
###### Applied Filters
Modeling Scenario
195

views

138

0

##### 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.
Modeling Scenario
203

views

155

0

##### 3-031-SpringCost-ModelingScenario
We assume students are familiar with overdamping and underdamping of a spring-mass-dashpot system. Students will apply this knowledge to model the interplay between spring constant, tolerance, and cost.
Modeling Scenario
223

views

369

0

##### 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 model to approximate the value of the spring...
Modeling Scenario
217

views

184

0

##### 5-014-TwoSpringMass-ModelingScenario
We ask students to build a Free Body Diagram for a vertical two mass situation in which the two masses are held fixed at the tip and at the bottom. The mass holds the springs together at the join of the two springs in between.
Modeling Scenario
258

views

146

0

##### 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.
Modeling Scenario
222

views

337

0

##### 3-060-DataToDifferentialEquation-ModelingScenario
Students use 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.
Modeling Scenario
322

views

351

0

##### 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.
Modeling Scenario
343

views

387

0

##### 3-001-SpringMassDataAnalysis-ModelingScenario
We offer data on position of a mass at end of spring over time where the spring mass configuration has damping due to taped flat index cards at the bottom of the mass. Modeling of a spring mass configuration and estimation of parameters are the core.
Modeling Scenario
258

views

173

0

##### 3-010-EnergyInSpringMassSystem-ModlingScenario
As a way to synthesize the effects of damping and forcing terms, this activity is meant to encourage students to explore how different forcing terms will change the total energy in a mass-spring system.
Modeling Scenario
680

views

644

0

##### 3-034-CarSuspension-ModelingScenario
We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a ``quarter car'', meaning a single wheel.
Modeling Scenario
214

views

102

0

##### 3-040-FirstPassageTime-ModelingScenario
We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first passage time through 0 value with several applications.
Modeling Scenario
248

views

132

0

##### 3-091-SpringModeling-ModelingScenario
In this lab students will collect data on their spring mass systems and compare their empirical models to their theoretical onesâ€”giving them an opportunity to actually test a model against data.
Modeling Scenario
194

views

155

0

Students estimate parameters in a second order, linear, ordinary differential equations through analysis of the steady state solution. By applying a driver we can collect data in terms of the parameters and estimate these parameters
Modeling Scenario
547

views

707

0

##### 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 of Newton's Second Law of Motion.
Modeling Scenario
298

views

333