5. The motion of a mass attached to a dashpot and a spring as it experiences a force can be represented by dx d?x F = -kx Fg = -B dt Fm = m- dt2 As the net force (F) is equal to 1, the following differential equation can be written: FB + Fm + Fr = 1 d²x dx т dt2 -B- kx = 1 dt Where m = 1, B = 1 and k = 6, Solve the above differential equation using the Laplace Transform method at the following initial conditions, x(0) = 0. x'(0) = 0.
5. The motion of a mass attached to a dashpot and a spring as it experiences a force can be represented by dx d?x F = -kx Fg = -B dt Fm = m- dt2 As the net force (F) is equal to 1, the following differential equation can be written: FB + Fm + Fr = 1 d²x dx т dt2 -B- kx = 1 dt Where m = 1, B = 1 and k = 6, Solve the above differential equation using the Laplace Transform method at the following initial conditions, x(0) = 0. x'(0) = 0.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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