R m y motion There is only one answer
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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Transcribed Image Text:QUESTION 7
Consider a pulley system shown below. The coordinate x is the displacement of G. Assume there is no slip between the cord and the pulley, and disk and the ground.
k
ooood
L
Find the equation of motion. There is only one answer.
m2
(---)
+
+
2
m₁+m₂+
1
I\d²x
2 R² dt²
(=/m₂ +
²₁ +m ²₂+
m
2
m₂, I, R
+-+
m₁+ 4
I d²x
+kx=m₁₂8
I \d²x
R² dt²
+4kx=m₁₂8
Id²x
R² d1²
+4kx=
2
0 (2m, + m₂ + 2) +
I d²x
R2 d₁²
d²x
I
0 (m₂ + 4m² + 2)² + 4x:
dt²
|m₁|
+2kx=2m₂8
+4kx==m₁8
+4kx=m₁8
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