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Midterm%20Solutions - Copy (6)

Midterm%20Solutions - Copy (6) - Prof Raghuveer...

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Prof. Raghuveer Parthasarathy University of Oregon; Fall 2007 NAME : SOLUTIONS Physics 351 – Vibrations and Waves MIDTERM EXAMINATION Format: Closed book; no calculators. Four problems. Time: 50 minutes. (Suggested times: # 1 , 5 min; # 2 , 10 min., # 3 & # 4 , each 15-20 min.) Write clearly! You may make use of the following if needed: For the steady state response of a damped oscillator driven at angular frequency ω : The amplitude ( A ) and phase offset ( δ ) are given by: ( ) ( ) 0 1 2 2 2 2 2 0 2 2 0 / ) ; tan ( ) ( F m A γω ω δ ω ω ω ω ω γω = = + The power absorbed (averaged over one cycle): 1 2 2 0 0 0 2 0 ( 1 ) 2 F kQ Q P ω ω ω ω ω ω = + As usual: m is the mass; k is the spring constant.; γ is the damping factor (“= b / m ”) ω 0 is the angular frequency of the undamped system. F 0 is the amplitude of the driving force
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