.2 Gun barrel. Solve y" + y = 1 – t2/T if 0S t=T and 0 if t→; here, y(0) = 0, y'(0) = 0. This models an undamped system on which a force F acts during some interval of time (see Fig. 59), for instance, the force on a gun barrel when a shell is fired, the barrel being braked by heavy springs (and then damped by a dashpot, which we disregard for simplicity). Hint: At T both y and y' must be continuous. m = 1 k = 1 F F = 1 - t/n2 1 F = 0
.2 Gun barrel. Solve y" + y = 1 – t2/T if 0S t=T and 0 if t→; here, y(0) = 0, y'(0) = 0. This models an undamped system on which a force F acts during some interval of time (see Fig. 59), for instance, the force on a gun barrel when a shell is fired, the barrel being braked by heavy springs (and then damped by a dashpot, which we disregard for simplicity). Hint: At T both y and y' must be continuous. m = 1 k = 1 F F = 1 - t/n2 1 F = 0
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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