Engineering Mechanics - DynamicsChapter 22τ2πωn=2.67 s=Problem 22-23Determine the natural frequency for small oscillations of the sphere of weight Wwhen the rodis displaced a slight distance and released. Neglect the size of the sphere and the mass of therod. The spring has an unstretched length d.Given:W10 lb=k5lbft=d1ft=Solution:GeometryLd2d2+2ddcosθ()+=d2 1cos+=2dcos2⎛⎝⎞⎠=DynamicsW2d() sink2dcos2⎛⎝⎞⎠d−
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