A Mass, spring, and dashpot system is shown in Figure 2.1. It has a block mass of m = 10 kg The spring stiffness is k= 4000 N/m and a dashpot with a damping coefficient of c= 40 Ns/m. When the system is subjected to a harmonic force f(t) = 200 cos 10t, the stcady- state response is given as x,(t) = X cos(@t – $) = 0.066082 cos(10t – 0. 132552) andi the recorded natural frequency is w̟ = 20 rad/s with the damping ratio being ( = 0. 1. Using the initial conditions x, = 0. 1 m and t, = 0 m/s, detemine %3D 2.1. The Total response

Elements Of Electromagnetics
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A Mass, spring, and dashpot system is shown in Figure 2.1. It has a block mass of m =
10 kg.
The spring stiffness is k = 4000 N/m and a dashpot with a damping coefficient of c=
40 Ns/m. When the system is subjected to a harmonic force f(t) = 200 cos 10t, the steady-
state response is given as x,(t) = X cos(at - ) = 0.066082 cos(10t - 0.132552) and
the recorded natunal frequency is , = 20 rad/s with the damping ratio being ( 0.1.
Using the initial conditions x, = 0. 1 m and t, = 0 m/s, detemine
2.1. The Total response
Fo Cos wt
Transcribed Image Text:A Mass, spring, and dashpot system is shown in Figure 2.1. It has a block mass of m = 10 kg. The spring stiffness is k = 4000 N/m and a dashpot with a damping coefficient of c= 40 Ns/m. When the system is subjected to a harmonic force f(t) = 200 cos 10t, the steady- state response is given as x,(t) = X cos(at - ) = 0.066082 cos(10t - 0.132552) and the recorded natunal frequency is , = 20 rad/s with the damping ratio being ( 0.1. Using the initial conditions x, = 0. 1 m and t, = 0 m/s, detemine 2.1. The Total response Fo Cos wt
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