Simple Harmonic Motion and Damped Harmonic Motion In mechanics an object whose position relative to a rest position is given by a generalized cosine (or sine) function
(assuming that the damping forces are not so large as to pre- vent the system from oscillating entirely). Exercises 67–70 are based on these concepts.
A mass on a spring is undergoing simple harmonic motion so that its vertical position at time t seconds is given by
a. What is its vertical position at time
b. How fast is the mass moving, and in what direction, at times
c. The frequency of oscillation is defined as the reciprocal of the period. What is the frequency of oscillation of the spring?
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Chapter 9 Solutions
Applied Calculus
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