803_Dynamics 11ed Manual

803_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 22 τ 2 π ω n = 2.67 s = Problem 22-23 Determine the natural frequency for small oscillations of the sphere of weight W when the rod is displaced a slight distance and released. Neglect the size of the sphere and the mass of the rod. The spring has an unstretched length d . Given: W 10 lb = k 5 lb ft = d 1f t = Solution: Geometry Ld 2 d 2 + 2 dd cos θ () + = d 2 1 cos + = 2 d cos 2 = Dynamics W 2 d ( ) sin k 2 d cos 2 d
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