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Oscillations, continued Lecture 31 Wednesday, November 19

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Workbook problems due Today WB 10.5, problems 14-25

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Workbook Problems due Friday Problems 14-1 through 8, pages 14-1 -- 5

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Quiz A student places her 500g physics textbook on a frictionless table. She pushes the book against a spring 4.00cm and then releases the book. What is the book’s speed as it slides away? The spring constant is k = 1250 N/m.

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Equilibrium and Oscillation Frequency and Period

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Simple Harmonic Motion Linear restoring force— – Example, mass on a spring – Set y=0 at equilibrium point: –

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θ w cos θ w w sin θ T

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Simple Pendulum Find the angular frequency is

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Description of motion

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a)At what time(s) is particle moving right at maximum speed? b)At what time(s) is particle moving right at maximum speed? c)At what time(s) is the speed zero?

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Problem 14:7 An air-track glider is attached to a spring. The glider is pulled to the right and released from rest at t=0s. It then oscillates with T=2.0s and v max = 40cm/s a)A=? b)x(t=0.25s) = ?

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Problem 14.7

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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 θ Center of gravityL d

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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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