own an ODE that m system. trotch the coring 1

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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You have a prototype Slinky with a lump of
coal at the end. This forms a damped
spring-mass system. Assuming the usual
units you may suppose the mass of the coal
m=1, k=3, and the damping constant b =
1.
Write down an ODE that models the behavior
of this system.
If you stretch the spring 1 meter and let it go
with no initial velocity, determine the position
of the mass after t seconds.
At t=4 seconds you whack the mass with a
giant candy cane imparting 5 units of
impulse. Keeping the same system and the
same initial conditions, now determine the
position of the mass aftert seconds.
PLEASE ANSWER THE LAST QUESTION.
(At t=4 seconds you whack the mass with a
giant candy cane imparting 5 units of
impulse. Keeping the same system and the
same initial conditions, now determine the
position of the mass after t seconds.)
Transcribed Image Text:You have a prototype Slinky with a lump of coal at the end. This forms a damped spring-mass system. Assuming the usual units you may suppose the mass of the coal m=1, k=3, and the damping constant b = 1. Write down an ODE that models the behavior of this system. If you stretch the spring 1 meter and let it go with no initial velocity, determine the position of the mass after t seconds. At t=4 seconds you whack the mass with a giant candy cane imparting 5 units of impulse. Keeping the same system and the same initial conditions, now determine the position of the mass aftert seconds. PLEASE ANSWER THE LAST QUESTION. (At t=4 seconds you whack the mass with a giant candy cane imparting 5 units of impulse. Keeping the same system and the same initial conditions, now determine the position of the mass after t seconds.)
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