HW5 - ME 375 HOMEWORK #5 Spring 2009 Out: February 11, 2009...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
ME 375 HOMEWORK #5 Spring 2009 Out: February 11, 2009 Due: February 18, 2009 (at the beginning of class) PROBLEM 1: (35%) Consider the following differential equation that represents 3 masses connected by dampers: 43 ( ) + += ±±± ±± ± vv v f t where v is the velocity of the leftmost mass, and f ( t ) is the applied force acting on this mass. (a) Determine the transfer function relating V ( s ) to F ( s ). (b) Determine the transformed free response V ( s ) when ( ) 0, (0) 1, (0) 1, (0) 2 = == −= ± ft v v v , corresponding to a nonzero initial velocity for the leftmost mass and zero initial velocities for the other two masses. (c) Compare your expression for V ( s ) in part (b) with your transfer function in part (a). Do you see any similarities? (d) Expand your answer in part (b) using partial fraction expansion and solve for the free response v ( t ). (e) What part of the transfer function determines the form of the free response? PROBLEM 2 : (30%) For the system given by 4( ) , ( 0 ) ( 0 ) 0 ++ = = = ± ± xb x x F t x x (a) Determine the transfer function that relates the transformed output X ( s
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 08/28/2010 for the course ME 375 taught by Professor Meckle during the Spring '10 term at Purdue University-West Lafayette.

Page1 / 2

HW5 - ME 375 HOMEWORK #5 Spring 2009 Out: February 11, 2009...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online