A mass weighing 4 lb stretches a spring 1.5 in. The mass is given a positive displacement of 2 in from its equilibrium position and released with no initial velocity. Assuming that there is no damping and that external force of 2 cos 3t lb, formulate the initial value problem describing the motion of the mass. (A computer algebra system is recommended.) (a) Find the solution. 16 u(t) = 0.101 cos (16r) + 247cos (31) (b) Plot the graph of the solution. u 0.15 0.10 0.05 -0.05 -0.10 -0.15 O u 0.15 0.10 0.05 -0.05 X MAGMAMAN u 0.15 0.10 0.05 -0.05 -0.10 -0.15 u 0.15 0.10 0.05 -0.05 0105
A mass weighing 4 lb stretches a spring 1.5 in. The mass is given a positive displacement of 2 in from its equilibrium position and released with no initial velocity. Assuming that there is no damping and that external force of 2 cos 3t lb, formulate the initial value problem describing the motion of the mass. (A computer algebra system is recommended.) (a) Find the solution. 16 u(t) = 0.101 cos (16r) + 247cos (31) (b) Plot the graph of the solution. u 0.15 0.10 0.05 -0.05 -0.10 -0.15 O u 0.15 0.10 0.05 -0.05 X MAGMAMAN u 0.15 0.10 0.05 -0.05 -0.10 -0.15 u 0.15 0.10 0.05 -0.05 0105
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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Transcribed Image Text:A mass weighing 4 lb stretches a spring 1.5 in. The mass is given a positive displacement of 2 in from its equilibrium position and released with no initial velocity. Assuming that there is no damping and that the mass is acted on by an
external force of 2 cos 3t lb, formulate the initial value problem describing the motion of the mass. (A computer algebra system is recommended.)
(a) Find the solution.
u(t) = 0.101 cos (16t) +
(b) Plot the graph of the solution.
u
0.15
0.10
0.05
-0.05
-0.10
-0.15
u
0.15
0.10
0.05
16
cos (31)
247
-0.05
-0.10
-0.15
3
X
5
5
t
u
0.15
0.10
0.05
-0.05
-0.10
-0.15
u
0.15
0.10
0.05
-0.05
-0.10
-0.15
t
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