804_Dynamics 11ed Manual

804_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 22 *Problem 22-24 The bar has length l and mass m . It is supported at its ends by rollers of negligible mass. If it is given a small displacement and released, determine the natural frequency of vibration. Solution: Moment of inertia about point O : I O 1 12 ml 2 mR 2 l 2 4 2 + = 2 1 6 l 2 = mg R 2 l 2 4 θ m R 2 1 6 l 2 '' = '' 3 g 4 R 2 l 2 6 R 2 l 2 + 0 = From the above differential equation, p 3 g 4 R 2 l 2 6 R 2 l 2 = f p 2 π = 1 2 3 g 4 R 2 l 2
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This note was uploaded on 08/16/2011 for the course EGN 3321 taught by Professor Christianfeldt during the Spring '08 term at University of Central Florida.

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