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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
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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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