m ジフ T7

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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Problem 1:
ka
(a) Show that the equation of motion for the system in the figure above is
mä+kx = 0
using a free-body diagram of the mass, and application of Newton's second law. Also,
express ke in terms of ki and k2.
(b) Confirm the result in part (a) using use the principle of conservation of energy to obtain
the equation of motion.
(c) Determine the natural frequency.
Transcribed Image Text:Problem 1: ka (a) Show that the equation of motion for the system in the figure above is mä+kx = 0 using a free-body diagram of the mass, and application of Newton's second law. Also, express ke in terms of ki and k2. (b) Confirm the result in part (a) using use the principle of conservation of energy to obtain the equation of motion. (c) Determine the natural frequency.
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