نی www m2 FIGURE 2.6 Force-free, viscously damped system 2.21. Consider the system of Fig. 2.6 and plot the response to the initial conditions x (0) = 2cm, *(0) = 0 for the values of the damping factor C=0.1, 1 and 2. Let the frequency of undamped oscillation have the value = 5 rad/s and plot the response over the interval 0 ≤ ≤5s.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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k
32
www
M2
C
x(1)
FIGURE 2.6
Force-free, viscously damped system
m
2.21. Consider the system of Fig. 2.6 and plot the response to the initial conditions x (0) = 2cm,
x(0) = 0 for the values of the damping factor (= 0.1, 1 and 2. Let the frequency of undamped
oscillation have the value = 5 rad/s and plot the response over the interval 0 < 5 s.
2.22. A projectile of mass m = 10 kg traveling with the velocity = 50 m/s strikes and becomes
embedded in a massless board supported by a spring of stiffness k = 6.4 x 104 N/m in
parallel with a dashpot with the coefficient of viscous damping c=400 N-s/m (Fig. 2.24).
Determine the time required for the board to reach the maximum displacement and the value
of the maximum displacement.
FIGURE 2.24
Projectile striking a board restrained by a
spring and dashpot
ORDERUNEK
Transcribed Image Text:k 32 www M2 C x(1) FIGURE 2.6 Force-free, viscously damped system m 2.21. Consider the system of Fig. 2.6 and plot the response to the initial conditions x (0) = 2cm, x(0) = 0 for the values of the damping factor (= 0.1, 1 and 2. Let the frequency of undamped oscillation have the value = 5 rad/s and plot the response over the interval 0 < 5 s. 2.22. A projectile of mass m = 10 kg traveling with the velocity = 50 m/s strikes and becomes embedded in a massless board supported by a spring of stiffness k = 6.4 x 104 N/m in parallel with a dashpot with the coefficient of viscous damping c=400 N-s/m (Fig. 2.24). Determine the time required for the board to reach the maximum displacement and the value of the maximum displacement. FIGURE 2.24 Projectile striking a board restrained by a spring and dashpot ORDERUNEK
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