A spring with mass 1 kg is attached to one side of a spring with spring constant k = 12 kg/sec2. The other end of the spring is connected to the side of a steel beam so that the spring may oscillate in the horizontal direction. Suppose that friction is proportional to velocity with constant of proportionality f = 7 kg/sec. Write a differential equation for y(t), the position of the mass at time t, with the initial conditions y(0) = 0 and y(0) =1 m/sec. Solve your resulting IVP.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A spring with mass 1 kg is attached to one side of a spring with spring
constant k = 12 kg/sec2. The other end of the spring is connected to the side of
a steel beam so that the spring may oscillate in the horizontal direction. Suppose
that friction is proportional to velocity with constant of proportionality f = 7 kg/sec.
Write a differential equation for y(t), the position of the mass at time t, with the initial
conditions y(0) = 0 and y(0) =1 m/sec. Solve your resulting IVP.
Transcribed Image Text:A spring with mass 1 kg is attached to one side of a spring with spring constant k = 12 kg/sec2. The other end of the spring is connected to the side of a steel beam so that the spring may oscillate in the horizontal direction. Suppose that friction is proportional to velocity with constant of proportionality f = 7 kg/sec. Write a differential equation for y(t), the position of the mass at time t, with the initial conditions y(0) = 0 and y(0) =1 m/sec. Solve your resulting IVP.
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