?A 1-kg mass stretches a spring 6.25 cm. The resistance in the spring-mass system is

Chapter 7, Problem 95

(choose chapter or problem)

A 1-kg mass stretches a spring 6.25 cm. The resistance in the spring-mass system is equal to eight times the instantaneous velocity of the mass.

a. Find the equation of motion if the mass is released from a position 5 m below its equilibrium position with an upward velocity of 10 m/sec.

b. Determine whether the motion is overdamped, critically damped, or underdamped.

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