Consider the system formed by four bodies on a horizontal rope embedded at both ends, as shown in the figure. Consider the corresponding approximations for each component of the system to describe a simple harmonic motion vertically around the embedment height of the string. The tension in the string is uniform and equal to T, the four masses are equal to m and the distance between the embedment points and the suspended body is d. a) Solve the normal modes problem and find the four normal frequencies of oscillation and the corresponding amplitudes in which each component.
Consider the system formed by four bodies on a horizontal rope embedded at both ends, as shown in the figure. Consider the corresponding approximations for each component of the system to describe a simple harmonic motion vertically around the embedment height of the string. The tension in the string is uniform and equal to T, the four masses are equal to m and the distance between the embedment points and the suspended body is d. a) Solve the normal modes problem and find the four normal frequencies of oscillation and the corresponding amplitudes in which each component.
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Consider the system formed by four bodies on
a horizontal rope embedded at both ends, as shown in the figure. Consider the corresponding approximations for each component of the system to describe
a simple harmonic motion vertically around the embedment height of the string. The tension in the string is uniform and
equal to T, the four masses are equal to m and the distance
between the embedment points and the suspended body
is d.
a) Solve the normal modes problem and find the four normal frequencies of oscillation and the
corresponding amplitudes in which each
component.
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