k32wwwM2Cx(1)FIGURE 2.6Force-free, viscously damped systemm2.21. 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 undampedoscillation 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 becomesembedded in a massless board supported by a spring of stiffness k = 6.4 x 104 N/m inparallel 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 valueof the maximum displacement.FIGURE 2.24Projectile striking a board restrained by aspring and dashpotORDERUNEK

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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.

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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ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

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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