Concept explainers
A rod of mass m and length l is pinned at the bottom and supported by a spring of stiffness k at the top. When displaced by a force
(a) Find the transient solution
(b) Suppose
(c) Suppose now that
Determine the total solution,
(d) Given your solution to part (c), mark each of the following statements as true or false:
__________Increasing the length l would decrease the frequency of the oscillation.
__________Increasing the mass m would increase the frequency of the oscillation.
__________Increasing the stiffness k would increase the frequency of the oscillation.
__________Increasing the mass m would increase the amplitude of the oscillation.
__________Increasing the stiffness k would decrease the amplitude of the oscillation.
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