1. An undamped harmonic oscillator of mass m and spring constant k oscillates with an amplitude A. In terms of A, at what postion x is the speed of the oscillator, v, is half of its maximum speed v max Think & Prepare 1. Set-up the mechanical energy equation at any postion in terms of the variables of m, k and A. In particular, set-up up two equations, one equation at x when v=Vmax/2 and one at x = A. 2. Is the mechanical energy conserved? If so, what how are the two energy equations in 1 related? 3. Solve for x when v=v, max/2 in term of the amplitude A. 4. How many solutions for x are there? x when vis 1 2max = +

1. An undamped harmonic oscillator of mass m and spring constant k oscillates with an amplitude A. In terms of A, at what postion x is the speed of the oscillator, v, is half of its maximum speed v max Think & Prepare 1. Set-up the mechanical energy equation at any postion in terms of the variables of m, k and A. In particular, set-up up two equations, one equation at x when v=Vmax/2 and one at x = A. 2. Is the mechanical energy conserved? If so, what how are the two energy equations in 1 related? 3. Solve for x when v=v, max/2 in term of the amplitude A. 4. How many solutions for x are there? x when vis 1 2max = +

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Description: 1. An undamped harmonic oscillator of mass m and spring constant k oscillates with an amplitude A.In terms of A, at what postion x is the speed of the oscillator, v, is half of its maximum speed v maxThink & Prepare1. Set-up the mechanical energy eq

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 24P

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