The mass of a spring-mass system, with m = 12 kg and k = 35 kN/m, vibrates on a horizontal surface under a harmonic force of magnitude 300 and a frequency of 19 Hz. Find the resulting amplitude of steady state vibration. Assumethe coefficient of friction between the mass and the horizontal surface as 0.25

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The mass of a spring-mass system, with m = 12 kg and k = 35 kN/m, vibrates on a horizontal surface under a harmonic force of magnitude 300 and a frequency of 19 Hz. Find the resulting amplitude of steady state vibration. Assumethe coefficient of friction between the mass and the horizontal surface as 0.25

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Introduction

In this problem, we will calculate the amplitude of steady-state vibration the amplitude is its maximum displacement or distance from its equilibrium position. It is equivalent to the vibration path's half-length. First, we will calculate the force frequency and natural frequency of the spring-mass system.

Given data:

the massm=12 kgthe spring stiffnessk=35 kN/mharmonic forceF=300 Nthe harmonic frequencyf=19 Hzthe coefficient of frictionμ=0.25

 

Determine:

The amplitude of steady-state vibration (X)

 

 

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