230_Dynamics 11ed Manual

230_Dynamics 11ed Manual - Engineering Mechanics Dynamics...

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Engineering Mechanics - Dynamics Chapter 13 θ ' 4 rad s = r' 0 1.5 m s = M 0.2 kg = r 1 0.5 m = Solution: 0 M r'' r ' 2 () = rt Ae 't Be ' t + = r' t 'Ae ' t = Guess A 1m = B = t 1s = Given 0 AB + = r' 0 'A B = r 1 ' t + = A B t 1 Find , t , = A B 0.188 0.188 m = t 1 0.275 s = ' t + = r' t ' t = v r r' t 1 = v 1 ' = v r v 2.5 2 m s = Problem 13-111 A spool of mass M slides down along a smooth rod. If the rod has a constant angular rate of rotation θ ' in the vertical plane, show that the equations of motion for the spool are r'' r ' 2 g sin 0 = and 2 M 'r ' N s + Mg cos 0 = where N s is the magnitude of the normal force of the rod on the spool. Using the methods of differential equations, it can be shown that the solution of the first of these
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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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