Prof. Raghuveer Parthasarathy University of Oregon; Fall 2007 NAME: SOLUTIONSPhysics 351 – Vibrations and Waves MIDTERM EXAMINATION Format: Closed book; no calculators. Fourproblems. 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: ()()01222220220/);tan()(FmAγωωδ ωωωωωγω==−⎡⎤−+⎢⎥⎣⎦The power absorbed (averaged over one cycle): 12200020(1)2FkQQPωωωωωω−⎡⎤⎛⎞⎢⎥=−+⎜⎟⎢⎥⎝⎠⎣⎦As usual: mis the mass; kis the spring constant.; γis the damping factor (“=b/m”) ω0is the angular frequency of the undamped system. F0is the amplitude of the driving force
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