Chapter7: Atoms And Spectra
Section: Chapter Questions
Problem 6RQ
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Question
A weight is attached to a spring suspended vertically from a ceiling. When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by y as attached where y is the displacement (in feet) from equilibrium of the weight and t is the time (in seconds). (a) Use the identity a sin Bθ + b cos Bθ = √(a2 + b2) sin(Bθ + C) where C = arctan(b/a), a > 0, to write the model in the form y = √(a2 + b2) sin(Bt + C). (b) Find the amplitude of the oscillations of the weight. (c) Find the frequency of the oscillations of the weight.
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