The motion of an underdamped oscillator is described by
Chapter 14, Problem 14.61(choose chapter or problem)
The motion of an underdamped oscillator is described by Eq. (14.42). Let the phase angle be zero. (a) According to this equation, what is the value of x at (b) What are the magnitude and direction of the velocity at What does the result tell you about the slope of the graph of x versus t near (c) Obtain an expression for the acceleration at For what value or range of values of the damping constant b (in terms of k and m) is the acceleration at negative, zero, and positive? Discuss each case in terms of the shape of the graph of x versus t near t = 0.
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