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A mass of 4kg stretches a spring 40cm. Suppose the mass is displaced an additional 4cm in the positive (downward) direction and then released. Suppose that the damping constant is 2 N s/m and assume g = 9.8 m/s² is the gravitational acceleration. (a) Set up a differential equation that describes this system. Let to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of I, I', I" (b) Enter the initial conditions: (0) = m I'(0) (c) Is this system under damped, over damped, or critically damped?? m/s

A mass of 4kg stretches a spring 40cm. Suppose the mass is displaced an additional 4cm in the positive (downward) direction and then released. Suppose that the damping constant is 2 N s/m and assume g = 9.8 m/s² is the gravitational acceleration. (a) Set up a differential equation that describes this system. Let to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of I, I', I" (b) Enter the initial conditions: (0) = m I'(0) (c) Is this system under damped, over damped, or critically damped?? m/s

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A mass of 4kg stretches a spring 40cm. Suppose the mass is displaced an additional 4cm in the positive (downward) direction and then released. Suppose that the damping constant is 2 N s/m and assume g = 9.8 m/s² is the gravitational acceleration. (a) Set up a differential equation that describes this system. Let a to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of 1, x', " (b) Enter the initial conditions: (0) = m T'(0) (c) Is this system under damped, over damped, or critically damped?? m/s
Transcribed Image Text:A mass of 4kg stretches a spring 40cm. Suppose the mass is displaced an additional 4cm in the positive (downward) direction and then released. Suppose that the damping constant is 2 N s/m and assume g = 9.8 m/s² is the gravitational acceleration. (a) Set up a differential equation that describes this system. Let a to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of 1, x', " (b) Enter the initial conditions: (0) = m T'(0) (c) Is this system under damped, over damped, or critically damped?? m/s
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