A machine has a mass of 100 kg and unbalanced reciprocating parts of s 2 kg which move through a vertical stroke of 80 mm with simple harmonic motion The chine is mounted on four springs, symmetrically arranged with respect to centre of mass, in A way that the machine has one degree of freedom and can undergo vertical displacements amly. Neglecting damping, calculate the combined stiffness of the spring in order that the force ramsmitted to the foundation is 1/25 th of the applied force, when the speed of rotation of ma- chine crank shaft is 1000 r.p.m.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A machine has a mass of 100 kg and unbalanced reciprocating parts of
s 2 kg which move through a vertical stroke of 80 mm with simple harmonic motion The
chine is mounted on four springs, symmetrically arranged with respect to centre of masS, in
wh a way that the machine has one degree of freedom and can undergo vertical displacements
Neglecting damping, calculate the combined stiffness of the spring in order that the force
ransmitted to the foundation is 1/25 th of the applied force, when the speed of rotation of ma-
chine crank shaft is 1000 r.p.m.
Transcribed Image Text:A machine has a mass of 100 kg and unbalanced reciprocating parts of s 2 kg which move through a vertical stroke of 80 mm with simple harmonic motion The chine is mounted on four springs, symmetrically arranged with respect to centre of masS, in wh a way that the machine has one degree of freedom and can undergo vertical displacements Neglecting damping, calculate the combined stiffness of the spring in order that the force ransmitted to the foundation is 1/25 th of the applied force, when the speed of rotation of ma- chine crank shaft is 1000 r.p.m.
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