A machine, subject to a harmonic force of 500N with 0.5Hz frequency, is modelled as a mass of 800kg supported by a rigid spring of stiffness 20kN/m and dashpot of damping coefficient 6400Ns/m. a. Derive the equation of motion of the vibrating system and calculate its natural fre- quency and damping ratio b. Draw the vector diagram of all the forces acting in the system, showing the phase re- lationships between them. hen c. Using the vector diagram or otherwise, determine the amplitude of the steady state vibration and phase angle between the harmonic force and displacement of mass. [8

A machine, subject to a harmonic force of 500N with 0.5Hz frequency, is modelled as a mass of 800kg supported by a rigid spring of stiffness 20kN/m and dashpot of damping coefficient 6400Ns/m. a. Derive the equation of motion of the vibrating system and calculate its natural fre- quency and damping ratio b. Draw the vector diagram of all the forces acting in the system, showing the phase re- lationships between them. hen c. Using the vector diagram or otherwise, determine the amplitude of the steady state vibration and phase angle between the harmonic force and displacement of mass. [8

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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Concept explainers

Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

Question

revision help past paper answer needed

A machine, subject to a harmonic force of 500N with 0.5Hz frequency, is modelled as a mass
of 800kg supported by a rigid spring of stiffness 20kN/m and dashpot of damping coefficient
6400Ns/m.
a.
Derive the equation of motion of the vibrating system and calculate its natural fre-
quency and damping ratio
b. Draw the vector diagram of all the forces acting in the system, showing the phase re-
lationships between them.
hen
C. Using the vector diagram or otherwise, determine the amplitude of the steady state
vibration and phase angle between the harmonic force and displacement of mass. [8

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