Question

A spring-mass system has a spring constant of 3 N/m. A mass of 1 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to two times the magnitude of the instantaneous velocity. There is zero external force. If the mass is pulled so that the spring is stretched 0.4 m and released (with initial velocity of zero), find the position, u, of the mass at any time t. What is the position, u, as t→+[infinity]




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