Consider a typical viscously damped spring-mass system, as shown in figure P4 below, for which the spring stiffness is 550 N/m. If the mass of the system is displaced from its equilibrium position and released, then its period of vibration is found to be 1.80 seconds and the ratio of its consecutive amplitude is observed as 3.8 to 1.0. Calculate the amplitude and phase of the steady- state motion when a force, P =2Cos3t, acts on the system. Displacement Figure P4. 200 150 100 50 m at 12 14 16 -50 P-P, sin pt x(1)

Elements Of Electromagnetics
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Consider a typical viscously damped spring-mass system, as shown in figure P4 below,
for which the spring stiffness is 550 N/m. If the mass of the system is displaced from its equilibrium
position and released, then its period of vibration is found to be 1.80 seconds and the ratio of its
consecutive amplitude is observed as 3.8 to 1.0. Calculate the amplitude and phase of the steady-
state motion when a force, P =2Cos3t, acts on the system.
Displacement
Figure P4.
200
150
100
50
m
1.2
14
16
-50
P-P, sin pt
x(1)
100
Transcribed Image Text:Consider a typical viscously damped spring-mass system, as shown in figure P4 below, for which the spring stiffness is 550 N/m. If the mass of the system is displaced from its equilibrium position and released, then its period of vibration is found to be 1.80 seconds and the ratio of its consecutive amplitude is observed as 3.8 to 1.0. Calculate the amplitude and phase of the steady- state motion when a force, P =2Cos3t, acts on the system. Displacement Figure P4. 200 150 100 50 m 1.2 14 16 -50 P-P, sin pt x(1) 100
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