Engineering Mechanics - DynamicsChapter 22*Problem 22-24The bar has length l and mass m. It issupported at its ends by rollers of negligiblemass. If it is given a small displacement andreleased, determine the natural frequency ofvibration.Solution:Moment of inertia about point O:IO112ml2mR2l24−⎛⎜⎝⎞⎟⎠2+=216l2−⎛⎝⎞⎠=mgR2l24−⎛⎜⎝⎞⎟⎠θm−R216l2−⎛⎝⎞⎠''=''3g4R2l2−6R2l2−+0=From the above differential equation,p3g4R2l2−6R2l2−=fp2π=123g4R2l2−
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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.