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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 illustrated. (44 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)
 
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)
 
Kites: Modeling with Vectors
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After defining the basic concepts of vectors, this program uses algebra to determine how the resultant of numerous forces acting on a body can be obtained and then equated to the product of mass and acceleration. Kites are employed to exemplify both ...(more details)
 
Spinning Tops and Ailerons: Moments and Angular Momentum
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In this program, animated graphics help to define the concept of angular momentum and to express the relationship between moments and the rate of change of angular momentum. Problems include determining the dimensions needed for an airplane's aileron...(more details)
 
Resonance: Simple Harmonic Motion
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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-...(more details)
 


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