A 1-kg mass is attached to a spring whose constant is 16 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 10 times the instantaneous velocity. Determine the equation of motion if the mass is initially released from a point 1 meter below the equilibrium positon with an upward velocity of 12m/s. -2 -2t 5 8t
A 1-kg mass is attached to a spring whose constant is 16 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 10 times the instantaneous velocity. Determine the equation of motion if the mass is initially released from a point 1 meter below the equilibrium positon with an upward velocity of 12m/s. -2 -2t 5 8t
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Transcribed Image Text:A 1-kg mass is attached to a spring whose constant is 16 N/m, and the entire system is then submerged in a liquid
that imparts a damping force numerically equal to 10 times the instantaneous velocity. Determine the equation of
motion if the mass is initially released from a point 1 meter below the equilibrium positon with an upward velocity of
12m/s.
-2
u(t)=
5
.-2t
-8t
e + e
3
3
5
u(t)=
= 1/²/3e-2t +
-8t
е
e
3
O
5
|u(t)==-e-2t₁ -8t
3
Ⓒu(t)=²8-2 +²²
=
шыш
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