315 HW_8

# 315 HW_8 - . 8.13: w ( x,t ) = w sin ( πx ‘ ) cos ( cπt...

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North Carolina State University Department of Mechanical and Aerospace Engineering MAE 315-1 Dynamics of Machines Summer I, 2010 Homework #8: Due date June 24, 2010 Rao’s Textbook problems: 8.3, 8.7, 8.13, 8.28 (b), (d), 8.29. Answers: 8.3: ω 3 = 9000 Hz , ω 1 3 will increase 9 . 54%. 8.7: ω n = (2 n +1) πc 2 ,n = 0 , 1 , 2 ···
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Unformatted text preview: . 8.13: w ( x,t ) = w sin ( πx ‘ ) cos ( cπt ‘ ) . 8.28: (b). ω 1 = 2479 . 38 rad/sec,ω 2 = 6832 . 20 rad/sec,ω 3 = 13393 . 85 rad/sec ; (d). ω 1 = 0 rad/sec,ω 2 = 2479 . 38 rad/sec,ω 3 = 6832 . 20 rad/sec . 8.29: cos( β‘ )cosh( β‘ ) =-1. 1...
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## This note was uploaded on 09/08/2010 for the course MAE 315 taught by Professor Wu during the Summer '08 term at N.C. State.

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