A mass weighing 10 pounds stretches a spring foot. This

Chapter 5, Problem 10E

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A mass weighing 10 pounds stretches a spring \(\frac{1}{4}\) foot. This mass is removed and replaced with a mass of 1.6 slugs, which is initially released from a point \(\frac{1}{3}\) foot above the equilibrium position with a downward velocity of \(\frac{5}{4}\) ft/s.

(a) Express the equation of motion in the form given in (6). (b) Express the equation of motion in the form given in \(\left(6^{\prime}\right)\)

(c) Use one of the solutions obtained in parts (a) and (b) to determine the times the mass attains a displacement below the equilibrium position numerically equal to \(\frac{1}{2}\) the amplitude of motion.

Text Transcription:

frac14

frac13

frac54

frac12

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