System Dynamics 3rd Edition

Published by McGraw-Hill Education
ISBN 10: 0073398063
ISBN 13: 978-0-07339-806-8

Chapter 2 - Problems - Page 115: 2.52

Answer

$$f(t)=M u_{s}(t)-2 M u_{s}(t-T)+M u_{s}(t-2 T)$$ From Property 6, $$F(s)=\frac{M}{s}-\frac{2 M}{s} e^{-T s}+\frac{M}{s} e^{-2 T s}$$

Work Step by Step

$$f(t)=M u_{s}(t)-2 M u_{s}(t-T)+M u_{s}(t-2 T)$$ From Property 6, $$F(s)=\frac{M}{s}-\frac{2 M}{s} e^{-T s}+\frac{M}{s} e^{-2 T s}$$
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