A machine supported symmetrically on four springs has a mass of 160 kg. The mass of the reciprocating parts is 4.5 kg which moves through a vertical stroke of 200 mm with simple harmonic motion. Neglecting damping, determine the combined stiffness of the springs so that the force transmitted to the foundation is 1/20h of the impressed force. The machine crankshaft rotates at 1600 rpm. If, under actual conditions, the damping reduces the amplitude of successive vibrations by 30 %, find the (i) force transmitted to the foundation at 1600 rpm (ii) force transmitted to the foundation at resonance (iii) amplitude of the vibration at resonance.

A machine supported symmetrically on four springs has a mass of 160 kg. The mass of the reciprocating parts is 4.5 kg which moves through a vertical stroke of 200 mm with simple harmonic motion. Neglecting damping, determine the combined stiffness of the springs so that the force transmitted to the foundation is 1/20h of the impressed force. The machine crankshaft rotates at 1600 rpm. If, under actual conditions, the damping reduces the amplitude of successive vibrations by 30 %, find the (i) force transmitted to the foundation at 1600 rpm (ii) force transmitted to the foundation at resonance (iii) amplitude of the vibration at resonance.

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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