A 1-kilogram mass is attached to a spring whose constant is 18 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the initial conditions and 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(0) = x'(0) = m/s x(t) = m (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 11 m/s x(0) = x'(0) = m/s x(t) =

Principles of Physics: A Calculus-Based Text
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Chapter12: Oscillatory Motion
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Problem 1OQ: Which of the following statements is not true regarding a massspring system that moves with simple...
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A 1-kilogram mass is attached to a spring whose constant is 18 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the initial conditions and 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(0)
x'(0)
m/s
x(t)
(b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 11 m/s
x(0)
x'(0)
m/s
x(t)
Transcribed Image Text:A 1-kilogram mass is attached to a spring whose constant is 18 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the initial conditions and 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(0) x'(0) m/s x(t) (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 11 m/s x(0) x'(0) m/s x(t)
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