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8. [ A 1-kilogram mass is attached to a spring whose constant is 14 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 9 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) = x(t) = m x(t) = m/s (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 m m/s m
Transcribed Image Text:8. [ A 1-kilogram mass is attached to a spring whose constant is 14 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 9 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) = x(t) = m x(t) = m/s (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 m m/s m
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