Question: 1. A spring is streched 10 cm by a force of 3 N. A mass of 2 kg is hung from the spring and is

1. A spring is streched 10 cm by a force of 3 N. A mass of 2 kg is hung from the spring and is also attached to a viscous damped that exerts a force of 3 N when the velocity of the mass is 5 meters per second. If the mass is pulled down 5 cm below its equilibrium position and given an initial downward velocity of 10 cm per second, determine its position u at any time t. Find the quasi-frequency u and the ratio of ,u to the natural frequency of the corresponding undamped motion. 2. A mass of 5 kg stretches a spring 10 cm. The mass is acted on by an external force of 10 sin (5) N and moves in a madium that imparts a viscous force of 2 N when the speed of the mass is 4 cm per second. If the mass is set in motion from its equilibrium position with an initial velocity of 3 cm per second, formulate the initial value problem describing the motion of the mass

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