The undamped single degree of freedom system of Problem 3.1 is subjected to the initial conditions xo =0.02 m and io =3 m/s. Determine the system response as a function of time. Also determine the maximum velocity and the

Elements Of Electromagnetics
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ANSWER 3.4 with regards to problem 3.1

3.1. A single degree of freedom mass-spring system consists of a 10 kgs mass
suspended by a linear spring which has a stiffness coefficient of 6 x 10° N/m.
The mass is given an initial displacement of 0.04 m and it is released from rest.
Determine the differential equation of motion, and the natural frequency of the
system. Determine also the maximum velocity.
Transcribed Image Text:3.1. A single degree of freedom mass-spring system consists of a 10 kgs mass suspended by a linear spring which has a stiffness coefficient of 6 x 10° N/m. The mass is given an initial displacement of 0.04 m and it is released from rest. Determine the differential equation of motion, and the natural frequency of the system. Determine also the maximum velocity.
3.4. The undamped single degree of freedom system of Problem 3.1 is subjected
to the initial conditions xo =0.02 m and io =3 m/s. Determine the system
response as a function of time. Also determine the maximum velocity and the
total energy of the system.
Transcribed Image Text:3.4. The undamped single degree of freedom system of Problem 3.1 is subjected to the initial conditions xo =0.02 m and io =3 m/s. Determine the system response as a function of time. Also determine the maximum velocity and the total energy of the system.
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