Figure 1.1 illustrates a massless uniform beam that is supported by two equal springs. The system behaves as a single degree of freedom system. After a mass of 3 kg is placed on the uniform beam from the static equilibrium position the system is given a small downward displacement x(t) of 30mm and a velocity ¿(t)of 0.3 m/s.

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1.1.Derive the equation of motion of the system, using either Newton's second law or the energy method. 1.2.Determine the natural frequency of the system. 1.3.From the general solution determine the constants A & B. 1.4.Determine the maximum amplitude of the system.
Figure 1.1 illustrates a massless uniform
beam that is supported by two equal springs.
The system behaves as a single degree of
freedom system. After a mass of 3 kg is
placed on the uniform beam from the static
equilibrium position the system is given a
small downward displacement x(t) of 30mm
and a velocity x(t)of 0.3 m/s.
Transcribed Image Text:Figure 1.1 illustrates a massless uniform beam that is supported by two equal springs. The system behaves as a single degree of freedom system. After a mass of 3 kg is placed on the uniform beam from the static equilibrium position the system is given a small downward displacement x(t) of 30mm and a velocity x(t)of 0.3 m/s.
K = 4 N/m
K = 4 N/m
3 kg
x(t)
Transcribed Image Text:K = 4 N/m K = 4 N/m 3 kg x(t)
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