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)
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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Facbac4cf-02f9-4ab5-a31d-1d9503b7baf9%2F8af39761-529f-4344-ac1d-a8b7af0e8ad5%2F0mlyuo9_processed.png&w=3840&q=75)
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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