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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(ot – 4) = 0.066082 cos(10t - 0. 132552) and the recorded natural frequency is o, = 20 rad/s with the damping ratio being = 0. 1. Using the initial conditions x, = 0.1 m and to = 0 m/s determine 2.1. The Total response

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(ot – 4) = 0.066082 cos(10t - 0. 132552) and the recorded natural frequency is o, = 20 rad/s with the damping ratio being = 0. 1. Using the initial conditions x, = 0.1 m and to = 0 m/s determine 2.1. The Total response

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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(wt – 4) = 0.066082 cos(10t – 0. 132552) and the recorded natural frequency is w, = 20 rad/s with the damping ratio being = 0.1. Using the initial conditions x, = 0.1 m and io = 0 m/s, determine 2.1. The Total response k m F. cos wt Figure 2.1 Mass, Spring. Dashpot system
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(wt – 4) = 0.066082 cos(10t – 0. 132552) and the recorded natural frequency is w, = 20 rad/s with the damping ratio being = 0.1. Using the initial conditions x, = 0.1 m and io = 0 m/s, determine 2.1. The Total response k m F. cos wt Figure 2.1 Mass, Spring. Dashpot system
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