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.

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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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