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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 modern world. (54 minutes)



 
                    

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Copyright date: ©1999



Part of the Series : Math in a Box
     


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Modeling Vectors
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Bikes and Cars: Centripetal Acceleration
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This program considers the idea that circular motion must imply a force or component of a force toward the center of a circle, as in the Newtonian theory of how the Moon orbits the Earth. The reasons why bicyclists lean during turns, why roads are ba...(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)
 
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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