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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. The motion of a mass attached to a dashpot and a spring as it experiences a force can be represented by m dx = -B dt d²x Em = m- dt2 Fg = -kx FB As the net force (F) is equal to 1, the following differential equation can be written: FB + Fm + Fx = 1 d²x dx m 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.
Transcribed Image Text:5. The motion of a mass attached to a dashpot and a spring as it experiences a force can be represented by m dx = -B dt d²x Em = m- dt2 Fg = -kx FB As the net force (F) is equal to 1, the following differential equation can be written: FB + Fm + Fx = 1 d²x dx m 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.
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