Consider the nonconservative mass-spring system governed by ï + 2x + 26x = 0, x(0) = 1, i(0) = 4 (a) Find the solution z(t) and its derivative i(t), and evaluate (π/5) and i (π/5). (b) Calculate the total energy E(t) of the system when t = π/5. (c) Calculate the energy loss in the system due to friction in the time interval from t = 0 to t = π/5. Qu
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 alt="Consider the nonconservative mass-spring system governed by ï +2 +26x = 0, x(0) = 1, ż(0) = 4
(a) Find the solution z(t) and its derivative i(t), and evaluate x(7/5) and (7/5).
(b) Calculate the total energy E (t) of the system when t = π/5.
(c) Calculate the energy loss in the system due to friction in the time interval from t = 0 to t = π/5.
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