stretches a spring 8 feet and an impre <∞o. If the weight is released from re ected, then

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Solve a and b showing detailed steps
hswer the following.
A mass weighing 32 pounds stretches a spring 8 feet and an impressed force f(t) = e-2t sin t
acts on the system for 0 <t < o. If the weight is released from rest at the equilibrium position
and the damping forces neglected, then
(a) Specify the second order DE as an IVP which describe the above mass spring system.
(b) Use Laplace transform to solve the IVP and find the position of the mass at any time t.
1.
Transcribed Image Text:hswer the following. A mass weighing 32 pounds stretches a spring 8 feet and an impressed force f(t) = e-2t sin t acts on the system for 0 <t < o. If the weight is released from rest at the equilibrium position and the damping forces neglected, then (a) Specify the second order DE as an IVP which describe the above mass spring system. (b) Use Laplace transform to solve the IVP and find the position of the mass at any time t. 1.
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