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Resonance. Lecture 32 November 21, 2008. Robert Hooke. “ ceiiinosssttuv ” Anagram for “ ut tensio , sic vis ” “as the extension, so the force”. Workbook Problems due Friday. Problems 14-1 through 8, pages 14-1 -- 5. Energy in Simple Harmonic Motion. Pendulum. Point mass on a string.

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## Resonance

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**Resonance**Lecture 32 November 21, 2008**Robert Hooke**• “ceiiinosssttuv” • Anagram for “uttensio, sic vis” • “as the extension, so the force”**Workbook Problems due Friday**• Problems 14-1 through 8, pages 14-1 -- 5**Pendulum**Point mass on a string**Physical Pendulum**d L Center of gravity θ**Damped Harmonic Motion**Friction rears its ugly head!**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?**B) At what displacement as a fraction of A, is the energy**half kinetic and half potential?**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?**Problem 14.33**• The amplitude of an oscillator decreases to 36.8% of it initial value in 10.0s. What is the time constant?**The period of the oscillator is**• 1s • 2s • 5s • 10s**The velocity is zero when t =**• 1.25 s • 2.60 s • 5.2s • 0.0 s**The acceleration is max when t=**• 0.00s • 1.25 s • 4.0 s • None of the above**The velocity is a maximum for t =**• 0.0s • 1.25s • 2.6s • 4.0s**Problem 14. 37**• 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?**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?**Exam IV Wednesday, December 3**Chapter 10 and 14 Quick Review Monday

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