A spring which stretches by an amount e under a force mi'e is suspended from a support O and has a mass m at the lower end. Initially the mass is at rest in its equilibrium position at a point A below O. A vertical oscillation is now given to the support O such that at any time (t > 0) its displacement below'its initial position is a sin nt. Show that the displacement x of the mass below A is given by d²x/dt2 + 2?x =X²a sin nt. Hence show that if n +1, the displacement is given by x = ha (A sin nt – n sin At)/(x² - n). What happens when n =1?

A spring which stretches by an amount e under a force mi'e is suspended from a support O and has a mass m at the lower end. Initially the mass is at rest in its equilibrium position at a point A below O. A vertical oscillation is now given to the support O such that at any time (t > 0) its displacement below'its initial position is a sin nt. Show that the displacement x of the mass below A is given by d²x/dt2 + 2?x =X²a sin nt. Hence show that if n +1, the displacement is given by x = ha (A sin nt – n sin At)/(x² - n). What happens when n =1?

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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