A small generator of mass m is supported by four anti- vibration springs to reduce vibration levels being transmitted to the floor. Each spring has a stiffness of k N/m. Draw free body diagrams for: (i) The static equilibrium position for the system The dynamic case when the mass is displaced downwards by a deflection of x m and released. (ii) If the mass of the small generator m is 12 kg and (iii) each spring has a stiffness of 800 N/m and the vibration described as simple harmonic motion, calculate the frequency of vibration in Hz and time period of vibration.

A small generator of mass m is supported by four anti- vibration springs to reduce vibration levels being transmitted to the floor. Each spring has a stiffness of k N/m. Draw free body diagrams for: (i) The static equilibrium position for the system The dynamic case when the mass is displaced downwards by a deflection of x m and released. (ii) If the mass of the small generator m is 12 kg and (iii) each spring has a stiffness of 800 N/m and the vibration described as simple harmonic motion, calculate the frequency of vibration in Hz and time period of vibration.

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

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

(b)
A small generator of mass m is supported by four anti-
vibration springs to reduce vibration levels being
transmitted to the floor. Each spring has a stiffness of k
N/m. Draw free body diagrams for:
(i)
The static equilibrium position for the system
(ii)
The dynamic case when the mass is displaced
downwards by a deflection of x m and released.
If the mass of the small generator m is 12 kg and
(ii)
each spring has a stiffness of 800 N/m and the
vibration described as simple harmonic motion,
calculate the frequency of vibration in Hz and time
period of vibration.

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