Solved: After a mass weighing 10 pounds is attached to a 5-foot spring, the spring

Chapter 3, Problem 26

(choose chapter or problem)

After a mass weighing 10 pounds is attached to a 5-foot spring, the spring measures 7 feet. This mass is removed and replaced with another mass that weighs 8 pounds. The entire system is placed in a medium that offers a damping force numerically equal to the instantaneous velocity. (a) Find the equation of motion if the mass is initially released from a point ! foot below the equilibrium position with a downward velocity of 1 ft/s. (b) Express the equation of motion in the form given in (23). ( c) Find the times at which the mass passes through the equilibrium position heading downward. (d) Graph the equation of motion.