A 1-k:ilogram mass is attached to a spring whose constant is 16 Nim, and the entire

Chapter 3, Problem 23

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A 1-k:ilogram mass is attached to a spring whose constant is 16 Nim, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 10 times the instantaneous velocity. Determine the equations of motion if (a) the mass is initially released from rest from a point 1 meter below the equilibrium position, and then (b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 12 mis.

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