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Resonance Lecture 32 November 21, 2008

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**Robert Hooke “ceiiinosssttuv” Anagram for “ut tensio, sic vis”**

“as the extension, so the force”

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**Workbook Problems due Friday**

Problems 14-1 through 8, pages

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**Energy in Simple Harmonic Motion**

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Pendulum Point mass on a string

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Physical Pendulum d L Center of gravity θ

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**Damped Harmonic Motion**

Friction rears its ugly head!

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**Damped Harmonic Motion**

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Problem 14.15 A) When the displacement of a mass on a spring is ½A, what fraction of the mechanical energy is kinetic energy and what fraction is potential?

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**B) At what displacement as a fraction of A, is the energy half kinetic and half potential?**

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Problem 14.30 The center of gravity of a lower leg of a cadaver which had a mass of 5kg was located 18cm from the knee. When pivoted at the knee , the oscillation frequency was 1.6Hz. What is the moment of inertia of the lower leg?

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Problem 14.30

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Problem 14.33 The amplitude of an oscillator decreases to 36.8% of it initial value in 10.0s. What is the time constant?

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Problem 14.33

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**The period of this oscillator is approximately**

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**The period of the oscillator is**

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**The is zero at t = ?? approximately**

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**The velocity is zero when t =**

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**The acceleration is a maximum when t = ??**

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**The acceleration is max when t=**

None of the above

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**The velocity is a maximum for t = ??**

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**The velocity is a maximum for t =**

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Problem A 25 kg child sits on a 2.0m long rope swing. To maximize the amplitude of the swinging, how much time should be between pushes?

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Problem 14.37

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Problem 14.32 A thin, circular hoop with a radius of 0.22m is hanging from its rim on a nail. When pulled to one side and released, the hoop swings back and forth. The moment of inertia for a hoop with the axis passing through the circumference is I = 2MR2. What is the period of oscillation?

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Problem 14.32

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**Exam IV Wednesday, December 3**

Chapter 10 and 14 Quick Review Monday

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If the mass m increases by a factor of 2, the angular frequency of oscillation of the mass __. Question 1.is doubled 2.is multiplied by a factor of 2 1/2.

If the mass m increases by a factor of 2, the angular frequency of oscillation of the mass __. Question 1.is doubled 2.is multiplied by a factor of 2 1/2.

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