3.18. For the system shown in Fig. P3.7, let m =0.5 kg, k1 = k2 = k3 = 1000 N/m, and c= 10N - s/m. Derive the equations of motion of the system and deter- mine the natural frequency. Determine also the displacement and velocity of the mass after 0.2s if the initial conditions are xo =0.05 m and xo =2 m/s. m Fig. P3.7

Elements Of Electromagnetics
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For the system shown in Fig. P3.7, let m = 0.5 kg, k1 = k2 = k3 = 1000 N/m,
and c = 10 N · s/m. Derive the equations of motion of the system and determine the natural frequency. Determine also the displacement and velocity of
the mass after 0.2 s if the initial conditions are x0 = 0.05 m and x˙0 = 2 m/s.

3.18. For the system shown in Fig. P3.7, let m =0.5 kg, k1 = k2 =k3 = 1000 N/m,
and c= 10N - s/m. Derive the equations of motion of the system and deter-
mine the natural frequency. Determine also the displacement and velocity of
the mass after 0.2 s if the initial conditions are xo =0.05 m and io = 2 m/s.
k13
m
Fig. P3.7
Transcribed Image Text:3.18. For the system shown in Fig. P3.7, let m =0.5 kg, k1 = k2 =k3 = 1000 N/m, and c= 10N - s/m. Derive the equations of motion of the system and deter- mine the natural frequency. Determine also the displacement and velocity of the mass after 0.2 s if the initial conditions are xo =0.05 m and io = 2 m/s. k13 m Fig. P3.7
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