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
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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
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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