**Unformatted text preview: **ME/AE 455 MB/AESSS CE 51 Student Name: Oct. 29, 2007 1. (50 points) Using the impulse response method (the convolution integral method), compute the response of the system whose equation of motion is obtained as 56 +21: +9x = 6(1‘ —1)+25(t — 2) subjected to the initial conditions x(0) = 0.1 m and J'c(0) = 2.1 m/sec.5(t)is a Dirac delta (impulse) function. Response in all time intervals is to be computed. Check if you solution is satisfied at t=0. All units are in SI. Hint: total solution = homogenous solution + particular solution. __ L _ L _ 33
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Fall 2007 c. Cetinkaya
2 of 3 ME/AE 455 ME/AESSS CE 5] Student Name: Oct. 29, 2007 2. [50 points] The equation of motion of a forced system is given as 55 + 56+ 9x = e" . All initial conditions are zero (that is, at t=0, the system is at rest). All units are in 31. 2.3 [20 points] Using the La lace transform method, compute the response of the system in Laplace (5) domain,
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- Fall '10
- Centinkaya
- Impulse response, Dirac delta function, La lace transform, lace transform method