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Creating Models Chapter 10

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Lesson Objectives Know what a capacitor is and how it works Know what a capacitor is and how it works Introduce the idea of capacitance Introduce the idea of capacitance Know that the unit of capacitance is the Farad (F) = C V -1 Know that the unit of capacitance is the Farad (F) = C V -1

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Equations

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What if… Chapter 10.1

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Stocks and Flows Chapter 10.2

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Charge, current and time Q = Charge transferred in Coulombs (C) Q = Charge transferred in Coulombs (C) I = Current in Amps (A) I = Current in Amps (A) t= Time in seconds (s) t= Time in seconds (s)

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Leonhard Euler 1707-1783

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Clockwork Models Chapter 10.3

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Phasors and Waves http://www.surendranath.org/Applets/Waves/ Twave01A/Twave01AApplet.html http://www.surendranath.org/Applets/Waves/ Twave01A/Twave01AApplet.html http://www.surendranath.org/Applets/Waves/ Twave01A/Twave01AApplet.html http://www.surendranath.org/Applets/Waves/ Twave01A/Twave01AApplet.html

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Galileo Galilei 1564-1642

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Spring Pendulum Angular Frequency Acceleration

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John Harrison 1683-1766

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Applet Oscillations/Spring Mass Oscillations/Spring Mass http://www.surendranath.org/AppletsJ2.html http://www.surendranath.org/AppletsJ2.html http://www.surendranath.org/AppletsJ2.html

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Applet Oscillations/Pendulum Oscillations/Pendulum http://www.surendranath.org/AppletsJ2.html http://www.surendranath.org/AppletsJ2.html http://www.surendranath.org/AppletsJ2.html

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Homework – For Monday Research Foucaults Pendulum Research Foucaults Pendulum What is it? What is it? What is it for? What is it for? Could we make one? Could we make one? Research the Millennium Bridge Research the Millennium Bridge Why did it wobble? Why did it wobble? How did they fix it? How did they fix it?

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Resonating Chapter 10.4

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Lesson Objectives Introduce the concept of resonance when an oscillator is driven by a source Introduce the concept of resonance when an oscillator is driven by a source Explain and measure how resonance is a result of the driving frequency being similar to natural frequency Explain and measure how resonance is a result of the driving frequency being similar to natural frequency Be able to use F=ks to calculate spring constant k and calculate periodicity Be able to use F=ks to calculate spring constant k and calculate periodicity Understand how the resonance peak is usually very narrow without damping Understand how the resonance peak is usually very narrow without damping

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Retrofitted Mass Dampers

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Applet Forced Oscillations Forced Oscillations http://www.surendranath.org/Applets.html http://www.surendranath.org/Applets.html http://www.surendranath.org/Applets.html http://www.walter- fendt.de/ph14e/resonance.htm http://www.walter- fendt.de/ph14e/resonance.htm http://www.walter- fendt.de/ph14e/resonance.htm http://www.walter- fendt.de/ph14e/resonance.htm

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No weight With Weight

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The Tacoma Narrows Bridge

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Question Hints

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Hints for 110S 1.You will have to do quite a bit of rearranging of equations. 6.Think of the definition of potential difference when you are trying to work out how much energy is involved in passing charge through a battery.

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Hints for 150S 2.Write an equation for distance travelled. Distance is the area under your sketched velocity–time graph.

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Hints for 220S 3.To calculate the amount of stretch, consider the loss of gravitational potential energy of the jumper, all changed to elastic strain energy. You will end up with a quadratic equation to solve. 3.To calculate the amount of stretch, consider the loss of gravitational potential energy of the jumper, all changed to elastic strain energy. You will end up with a quadratic equation to solve.

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Hints for 210D 1.Just remember that the kinetic energy at any point = total energy – stored energy.

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