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Modeling Scenario
197
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289
downloads
0
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3-064-GearTrain-ModelingScenario
Students model an input-output mechanical system of gears with a second order, non-homogeneous, ordinary differential equation with constant coefficients. The model incorporates friction and moments of inertia of the gear train components.
friction
gear
spur gear
gear train
torque
gear ratio
angular acceleration
angular velocity
moment of inertia
double reduction gear
Potential Scenario
1602
views
59
downloads
0
comments
2018-Kovacs-Insperger-Retarded neutral and advanced differential equation models for balancing using an accelerometer
It is shown that slight modeling differences lead to significant qualitative change in the behavior of the system, which is demonstrated by means of the stability diagrams for the different models.
feedback
Accelerometers
functional differential equations
semi-discretization
D-subdivision method
Modeling Scenario
364
views
362
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 dynamics
energy
Fluid Mechanics
m
friction
roller coaster
integration by8 parts
Modeling Scenario
244
views
182
downloads
0
comments
3-042-CatapultLaunch-ModelingScenario
We maximize the range of a projectile by backing up an incline in the opposite direction of the range to give some initial lift. Find the position on the hill from which to launch the projectile to give the best lift.
projectile motion
catapult
uphill
launch angle
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