An 0.8-lb ball is connected to a paddle by means of an

Chapter 19, Problem 19.163

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An 0.8-lb ball is connected to a paddle by means of an elastic cord AB of constant k = 5 lb/ft. Knowing that the paddle is moved vertically according to the relation \(\mathrm{d}=\mathrm{d}_m\ \sin\ \mathrm{v}_ft\), where \(\mathrm{d}_m=8\mathrm{\ in.}\), determine the maximum allowable circular frequency \(\mathrm{v}_f\) if the cord is not to become slack.

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