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Physics 325 Spring 2011 Homework 6

Physics 325 Spring 2011 Homework 6 - Physics 325 Spring...

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Physics 325 Spring 2011 Homework 6A Name: ____________________________ Due: Mar 30, 2011 by 9am (lecture or 325 box) 1. (10 points) A mass-spring system is set into on a horizontal table (so that gravity may be neglected) and set into motion by displacing the mass from its equilibrium position. The displacement of the spring as a function of time is given by 0.1 ( ) cos(10 ) t x t e t , where all units are MKS . Work this problem under the assumption that the damping term is small so that 2 2 0 0 0 2 R and 2 2 0 0 2 d . Numerical answers must be accompanied by the appropriate units unless they are dimensionless. a) The oscillator mass is 2 kg. Find the numerical value for the Hooke s Law spring constant k . b) What is the numerical value of the quality factor Q for this oscillator? We now drive the oscillator with the periodic driving force pictured below: The force can be represented as a sum according to 0 1 ( ) cos sin 2 n n n a F t a n t b n t c)

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Physics 325 Spring 2011 Homework 6 - Physics 325 Spring...

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