The figure shows a structure composed of a beam and a system of springs that supports a box weighing 20 kips. Use the spring stiffness and mechanical properties of the beam given in the figure. Using the vertical displacement of the box as the degree of freedom and the equivalent spring method, determine the equation of motion for free vibrations. Also calculate the frequency and natural period. You can neglect the self-weight of the beam. La figura muestra una estructura compuesta de una viga y un sistema de resortes que sostiene una caja de 20 kipsen peso. Utilice la rigidez de los resortes y propiedades mecánicas de la viga dados en la figura. Utilizando eldesplazamiento vertical de la caja como grado de libertad y el método del resorte equivalente determine laecuación de movimiento para vibraciones libres. También calcule la frecuencia y periodo natural. Puededespreciar el peso propio de la viga.Problema 3:SearchDETENEVENTL = 15 ftE = 29,000 ksiI = 1,490 ink=10 k/ink = 25 k/ink = 35 k/ink = 50 k/in20 kipsŢ28

Given:To find:(a) Equation of motion of the system.(b) The frequency and natural period.

Answered: The figure shows a structure composed…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The figure shows a structure composed of a beam and a system of springs that supports a box weighing 20 kips. Use the spring stiffness and mechanical properties of the beam given in the figure. Using the vertical displacement of the box as the degree of freedom and the equivalent spring method, determine the equation of motion for free vibrations. Also calculate the frequency and natural period. You can neglect the self-weight of the beam.

La figura muestra una estructura compuesta de una viga y un sistema de resortes que sostiene una caja de 20 kips
en peso. Utilice la rigidez de los resortes y propiedades mecánicas de la viga dados en la figura. Utilizando el
desplazamiento vertical de la caja como grado de libertad y el método del resorte equivalente determine la
ecuación de movimiento para vibraciones libres. También calcule la frecuencia y periodo natural. Puede
despreciar el peso propio de la viga.
Problema 3:
Search
DETENEVENT
L = 15 ft
E = 29,000 ksi
I = 1,490 in
k=10 k/ink = 25 k/in
k = 35 k/in
k = 50 k/in
20 kips
Ţ
28

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