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A spring with an kg-mass is stretched by m from a natural length and has damping 1 4 9.8 64 constant 2 N- sec/m. Assume that the spring is compressedm from the equilibrium position and then released with an upward velocity of 1 m /sec. The displacement of the mass from its equilibrium position is measured positive in the downward direction. (a) Set up the initial value problem of the position of the mass at time t. (b) Write the second order differential equation as IVP of a linear system.

A spring with an kg-mass is stretched by m from a natural length and has damping 1 4 9.8 64 constant 2 N- sec/m. Assume that the spring is compressedm from the equilibrium position and then released with an upward velocity of 1 m /sec. The displacement of the mass from its equilibrium position is measured positive in the downward direction. (a) Set up the initial value problem of the position of the mass at time t. (b) Write the second order differential equation as IVP of a linear system.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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9.8 A spring with an -kg-mass is stretched by 64 m from a natural length and has damping 1 constant 2 N. sec/m. Assume that the spring is compressedm from the equilibrium position and then released with an upward velocity of 1 m/sec. The displacement of the mass from its equilibrium position is measured positive in the downward direction. (a) Set up the initial value problem of the position of the mass at time t. (b) Write the second order differential equation as IVP of a linear system.
Transcribed Image Text:9.8 A spring with an -kg-mass is stretched by 64 m from a natural length and has damping 1 constant 2 N. sec/m. Assume that the spring is compressedm from the equilibrium position and then released with an upward velocity of 1 m/sec. The displacement of the mass from its equilibrium position is measured positive in the downward direction. (a) Set up the initial value problem of the position of the mass at time t. (b) Write the second order differential equation as IVP of a linear system.
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