Consider the mass-spring system below. The mass of the system is m, the spring constant is k. The displacement of the mass is x. Assume a force u is applied on the mass in the downward direction. Neglecting gravity, answer the following: (a) Write the equations of motion of the system. (b) Find the transfer function x(s)/u(s) of the system. Assume zer initial conditions. Ix (c) Let m=1, k=2. Assume an impulse force is applied. What is u(s)? Sketch the resulting response x(t).

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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Chapter1: Introduction
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Question
Consider the mass-spring system below. The mass of the system is m, the spring
constant is k. The displacement of the mass is x. Assume a force u is applied on the
mass in the downward direction. Neglecting gravity, answer the
following:
(a) Write the equations of motion of the system.
(b) Find the transfer function x(s)/u(s) of the system. Assume zero
initial conditions.
(c) Let m=1, k=2. Assume an impulse force is applied. What is u(s)? Ve..
Sketch the resulting response x(t).
Transcribed Image Text:Consider the mass-spring system below. The mass of the system is m, the spring constant is k. The displacement of the mass is x. Assume a force u is applied on the mass in the downward direction. Neglecting gravity, answer the following: (a) Write the equations of motion of the system. (b) Find the transfer function x(s)/u(s) of the system. Assume zero initial conditions. (c) Let m=1, k=2. Assume an impulse force is applied. What is u(s)? Ve.. Sketch the resulting response x(t).
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