A uniform infinitely rigid beam of mass m and length 5/ is receiving a time-varying force P(t), at its end (point D), as shown in the figure. The beam is supported by a pin at point B, two springs of stiffness k, one at point A and one at point C, and a linear viscous damper with constant c at point A. Prepare a discrete analysis model of a degree of freedom, present the free body and kinetic diagrams. Clearly indicate the degree of freedom and its direction on the diagrams. Use as the mass moment of inertia, Io, of the beam with respect to its centerDetermine the equation of motion (for vibrations) with respect to the static equilibrium position Una viga infinitamente rigida uniforme de masa m y de longitud 51 está recibiendo una fuerza variable en el tiempoP(t), en su extremo (punto D), como se muestra en la figura. La viga está apoyada por un pasador en el punto B,dos resortes de rigidez k uno en el punto A y otro en el punto C, y un amortiguador viscoso lineal con constante cen el punto A. Prepare un modelo de análisis discreto de un grado de libertad, presente los diagramas de cuerpolibre y cinético. Indique claramente el grado de libertad y su dirección en los diagramas. Utilice como momentode inercia de masa, lo, de la viga respecto a su centro:m. (51)²IG =12Determine la ecuación de movimiento (para vibraciones) respecto a la posición de equilibrio estático.TEMkSearch2 lеCk 3MEM*2l28P(t)

The moment of inertia of of beam about its center is .

Answered: A uniform infinitely rigid beam of mass…

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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A uniform infinitely rigid beam of mass m and length 5/ is receiving a time-varying force P(t), at its end (point D), as shown in the figure. The beam is supported by a pin at point B, two springs of stiffness k, one at point A and one at point C, and a linear viscous damper with constant c at point A. Prepare a discrete analysis model of a degree of freedom, present the free body and kinetic diagrams. Clearly indicate the degree of freedom and its direction on the diagrams. Use as the mass moment of inertia, Io, of the beam with respect to its centerDetermine the equation of motion (for vibrations) with respect to the static equilibrium position