Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.4: Applications
Problem 9EQ
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A mass weighing 32 pounds stretches a spring 8 feet and an impressed force ?(?)=?−2?sin? acts on the system for 0≤?<∞. 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.
![A mass weighing 32 pounds stretches a spring 8 feet and an impressed force f(t) = e¯2t sint
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2b4e939-b64e-4366-a27f-fd91ff10301c%2Fc04dbe6e-8ed2-49ba-9d2a-91b12f9e871f%2Fmgjxw1q_processed.png&w=3840&q=75)
Transcribed Image Text:A mass weighing 32 pounds stretches a spring 8 feet and an impressed force f(t) = e¯2t sint
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.
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