Answered: A mass weighing 32 pounds stretches a…

Engineering

Mechanical Engineering

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

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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Question

Solve a and b with 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.

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