A 1-kilogram mass is attached to a spring whose constant is 21 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 equations of motion if the following is true. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position x(t) = (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 12 m/s x(t) = m

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This is a differential equations problem.

A 1-kilogram mass is attached to a spring whose constant is 21 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 equations of motion if the following is true.
(a) the mass is initially released from rest from a point 1 meter below the equilibrium position
x(t) =
(b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 12 m/s
x(t) =
m
Transcribed Image Text:A 1-kilogram mass is attached to a spring whose constant is 21 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 equations of motion if the following is true. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position x(t) = (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 12 m/s x(t) = m
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