A mass of 4 kg is attached to a spring with a spring constant of 128 N/m. The mass-spring system is immersed in a fluid with a damping coefficient of 48 m/s. The mass is pushed downward from the equilibrium position with an initial velocity of 0.8 m/s. Find the position of the mass at time t. B -4 x(1) = 0.2(e) - e x(t)=e4-e² -8 4 Ⓒx(1)=0.2(e² - e8) -e D x(t)=e-e'

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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A mass of 4 kg is attached to a spring with a spring constant of 128 N/m. The mass-spring system is immersed in a fluid with a damping coefficient of 48 m/s. The mass is pushed downward from the equilibrium position with an initial velocity of 0.8 m/s. Find the position of the mass at time t

 

A mass of 4 kg is attached to a spring with a spring constant of 128 N/m. The mass-spring system is immersed in a fluid with a
damping coefficient of 48 m/s. The mass is pushed downward from the equilibrium position with an initial velocity of 0.8 m/s. Find
the position of the mass at time t.
B
x(t)=e4-e²
4
© x(1) = 0.2(e-p8¹)
-4
x(1) = 0.2(e) - e
D
8
-8
x(t)=e-e'
Transcribed Image Text:A mass of 4 kg is attached to a spring with a spring constant of 128 N/m. The mass-spring system is immersed in a fluid with a damping coefficient of 48 m/s. The mass is pushed downward from the equilibrium position with an initial velocity of 0.8 m/s. Find the position of the mass at time t. B x(t)=e4-e² 4 © x(1) = 0.2(e-p8¹) -4 x(1) = 0.2(e) - e D 8 -8 x(t)=e-e'
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