equation of motion
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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Question

Transcribed Image Text:A spring connects mass m of a pendulum to a wall as shown in the figure. The original un-
stretched length of the spring is L. Use the Energy Method and find the equation of motion of
the system in terms of the angle 0.
L
L
K
m
Original Length = L
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Step 1: Consider the given figure.
VIEWStep 2: Calculate the length of spring AC at shown position.
VIEWStep 3: Calculate the deflection in the spring.
VIEWStep 4: Calculate the total potential energy of the mass system.
VIEWStep 5: Calculate the total kinetic energy of the mass system.
VIEWStep 6: Calculate the total mechanical energy of the mass system.
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