An object having a mass of 1 gram is attached to the lower

Chapter 2, Problem 2.74

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An object having a mass of 1 gram is attached to the lower end of a spring having a modulus of 29 dynes per centimeter. The mass in turn is adhered to a dashpot that imposes a damping force of 10v dynes, where v(t) is the velocity of the mass at time t in centimeters per second. Determine the motion of the mass if it is pulled down 3 centimeters from equilibrium and then struck upward with a blow sufficient to impart a velocity of 1 centimeter per second. Graph the solution. Solve the problem when the initial velocity is (in turn) 2, 4, 7, and 12 centimeters per second. Graph these solutions on the same axes to visualize the influence of the initial velocity on the motion.