A 3-kilogram mass hangs from a spring with a constant of 4 newtons per meter. The mass is set into motion by giving it a downward velocity of 3 meters per second. Damping in newtons equal to five times the velocity in meters per second acts on the mass during its motion. At time t = 6 seconds, it is struck upwards with a hammer imparting a unit impulse force. Set up the initial-value problem to compute the displacement of the mass as a function of time. Do not solve the equation.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A 3-kilogram mass hangs from a spring
with a constant of 4 newtons per
meter. The mass is set into motion by
giving it a downward velocity of 3
meters per second. Damping in
newtons equal to five times the velocity
in meters per second acts on the mass
during its motion. At time t = 6
seconds, it is struck upwards with a
hammer imparting a unit impulse force.
Set up the initial-value problem to
compute the displacement of the mass
as a function of time. Do not solve the
equation.
Transcribed Image Text:A 3-kilogram mass hangs from a spring with a constant of 4 newtons per meter. The mass is set into motion by giving it a downward velocity of 3 meters per second. Damping in newtons equal to five times the velocity in meters per second acts on the mass during its motion. At time t = 6 seconds, it is struck upwards with a hammer imparting a unit impulse force. Set up the initial-value problem to compute the displacement of the mass as a function of time. Do not solve the equation.
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