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# hwk06 - ME 375 HOMEWORK #6 Spring 2010 Out: Feb. 17th, 2010...

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ME 375 HOMEWORK #6 Spring 2010 Out: Feb. 17 th , 2010 Due: Feb. 24 th , 2010 PROBLEM 1 : (30%) Consider the following first-order system: b 1 ! y + b 0 y = c 1 ! t ( ) + c 2 t " a ( ) where t ( ) is the unit impulse function, b 1 = 12 N ! sec / m , b 0 = 3 N / m , c 1 = 1.2 N ! sec , c 2 = 3.6 N ! sec and a = 2 sec . a) Determine the forced response (zero initial conditions) y(t) of the system. b) Determine the time after which the forced response y(t) stays within 2% of its final steady-state value. c) Sketch the forced response of the system, y(t) vs. t.

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PROBLEM 2 (50%) Consider Problem 9.44 from the textbook. a) From Figure P9.44 provided with this problem, estimate the percent overshoot ( % OS ), peak time of response ( t p ) and the static gain ( K ). b) From your results in a), provide estimates for the parameters m, c and k for the second- order equation of motion provided in the problem statement. c)
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## This note was uploaded on 12/22/2011 for the course ME 375 taught by Professor Meckle during the Fall '10 term at Purdue.

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hwk06 - ME 375 HOMEWORK #6 Spring 2010 Out: Feb. 17th, 2010...

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