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In this program, resonance is examined. The value of mathematical models is demonstrated through the physics of applying a time-varying force to a body that fundamentally exhibits simple harmonic motion. Solution techniques for general linear second-order differential equations are featured. (50 minutes)



 
                    

Item#: This title is currently not available.
Copyright date: ©1999



Part of the Series : Math in a Box
     


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Pendulum: Simple Harmonic Motion
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This program introduces the concept of simple harmonic motion through the operation of the pendulum. The findings of Galileo and his contemporaries on the mechanics of the pendulum are presented, along with examples of pendular motion drawn from the ...(more details)
 
Parachuting: Moving Bodies with Constant Mass
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This program uses a parachutist to demonstrate the effects of drag on the force of gravity, showing how to make mathematical approximations and how the resultant forces can be equated to the product of mass and acceleration. A first-order differentia...(more details)
 
Vectors and Moments
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Moving beyond the concept of simple force, this program expands the application of vectors to include velocity, acceleration, and rotational motion. In addition, moments of greater complexity are investigated through vector geometry. Real-world examp...(more details)
 
Take-off: Moving Bodies with Constant Mass
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This program shows that a single mathematical model can describe the take-off of a wide variety of aircraft, running the gamut from a single-engine trainer to the Concorde. Because the search for approximations is somewhat complex, graphical notation...(more details)
 
Damping: Simple Harmonic Motion
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This program investigates how the mathematical model of simple harmonic motion becomes more complex through the introduction of damping. The application of simple modeling techniques to create homogeneous linear second-order differential equations is...(more details)
 


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