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N A mass of 0.75 kg is attached to the end of a spring whose restoring force is 120 E' The mass is in a
N A mass of 0.75 kg is attached to the end of a spring whose restoring force is 120 E' The mass is in a 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 0.08 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 2 sin(4t) 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.)
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