A mass spring system has a mass of 3/4 kg, a damping constant of 3/2 kg/sec and a spring constant of 15/2 kg/sec. There is no external force. The system is started in motion at y = 4 meters with an initial velocity of 3 m/s in the downward direction. a) Find the differential equation and the initial conditions that describe the motion of this system. b) Solve the resulting initial value problem. c) Is the spring system overdamped, underdamped or critically damped?
A mass spring system has a mass of 3/4 kg, a damping constant of 3/2 kg/sec and a spring constant of 15/2 kg/sec. There is no external force. The system is started in motion at y = 4 meters with an initial velocity of 3 m/s in the downward direction. a) Find the differential equation and the initial conditions that describe the motion of this system. b) Solve the resulting initial value problem. c) Is the spring system overdamped, underdamped or critically damped?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A mass spring system has a mass of 3/4 kg, a damping constant of 3/2 kg/sec and a spring constant of 15/2 kg/sec. There is no external force. The system is started in motion at y = 4 meters with an initial velocity of 3 m/s in the downward direction.
a) Find the differential equation and the initial conditions that describe the motion of this system.
b) Solve the resulting initial value problem.
c) Is the spring system overdamped, underdamped or critically damped?
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