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N A mass of 1.5 kg is attached to the end of a spring whose restoring force is 180 . The mass is in a - m m medium that exerts a viscous resistance of 26 N when the mass has a velocity of 2 . The viscous resistance is proportional to the speed of the object. Suppose the spring is stretched 0.07 m beyond the its natural position and released. Let positive displacements indicate a stretched spring, and suppose that external vibrations act on the mass with a force of 6 sin(3t) N at time t seconds. Find an function to express the steady-state component of the object's displacement from the spring's natural position, in m after t seconds. (Note: This spring-mass system is not "hanging", so there is no gravitational force included in the model.) u(t) =

N A mass of 1.5 kg is attached to the end of a spring whose restoring force is 180 . The mass is in a - m m medium that exerts a viscous resistance of 26 N when the mass has a velocity of 2 . The viscous resistance is proportional to the speed of the object. Suppose the spring is stretched 0.07 m beyond the its natural position and released. Let positive displacements indicate a stretched spring, and suppose that external vibrations act on the mass with a force of 6 sin(3t) N at time t seconds. Find an function to express the steady-state component of the object's displacement from the spring's natural position, in m after t seconds. (Note: This spring-mass system is not "hanging", so there is no gravitational force included in the model.) u(t) =

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N A mass of 1.5 kg is attached to the end of a spring whose restoring force is 180 =. The mass is in a m m medium that exerts a viscous resistance of 26 N when the mass has a velocity of 2 -. The viscous resistance is proportional to the speed of the object. Suppose the spring is stretched 0.07 m beyond the its natural position and released. Let positive displacements indicate a stretched spring, and suppose that external vibrations act on the mass with a force of 6 sin(3t) N at time t seconds. Find an function to express the steady-state component of the object's displacement from the spring's natural position, in m after t seconds. (Note: This spring-mass system is not "hanging", so there is no gravitational force included in the model.) u(t) =
Transcribed Image Text:N A mass of 1.5 kg is attached to the end of a spring whose restoring force is 180 =. The mass is in a m m medium that exerts a viscous resistance of 26 N when the mass has a velocity of 2 -. The viscous resistance is proportional to the speed of the object. Suppose the spring is stretched 0.07 m beyond the its natural position and released. Let positive displacements indicate a stretched spring, and suppose that external vibrations act on the mass with a force of 6 sin(3t) N at time t seconds. Find an function to express the steady-state component of the object's displacement from the spring's natural position, in m after t seconds. (Note: This spring-mass system is not "hanging", so there is no gravitational force included in the model.) u(t) =
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