Consider a pulley system shown below. Assume there is no slip between the cord and the pulley. X₁ k celle k(x₁ + RO) m₁, I₁, R mg 0₂ 0₁ The free body diagrams for the three masses are shown below. T₁ mg T₂ T₁ T₂ m₂ Iz R mg m₂

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 1.1MA
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Consider a pulley system shown below. Assume there is no slip between the cord and the pulley.
X₁
qu
k
200000
k(x₁ + RO)
m₂. I. R
0₂
R
m₂, I₂, R
▼
T₁ m₂g T₂
T₁
T₂
m₂
0₁
The free body diagrams for the three masses are shown below.
R₁
X₂
mm
mig
m3g
Select corresponding force balance and moment balance equations. They are not equations of motion (until you eliminate T1 and T2 and eliminate redundant coordinates, x2 and 02), yet. Select all
that apply. There is partial credits for this problem, but you also get negative scores for incorrect answers. Lowest overall grade is zero.
Transcribed Image Text:Consider a pulley system shown below. Assume there is no slip between the cord and the pulley. X₁ qu k 200000 k(x₁ + RO) m₂. I. R 0₂ R m₂, I₂, R ▼ T₁ m₂g T₂ T₁ T₂ m₂ 0₁ The free body diagrams for the three masses are shown below. R₁ X₂ mm mig m3g Select corresponding force balance and moment balance equations. They are not equations of motion (until you eliminate T1 and T2 and eliminate redundant coordinates, x2 and 02), yet. Select all that apply. There is partial credits for this problem, but you also get negative scores for incorrect answers. Lowest overall grade is zero.
mig
Select corresponding force balance and moment balance equations. They are not equations of motion (until you eliminate T1 and T2 and eliminate redundant coordinates, x2 and 82), yet. Select all
that apply. There is partial credits for this problem, but you also get negative scores for incorrect answers. Lowest overall grade is zero.
0 d²0.
1
1 dt²
m
m
d²x
1 dt²
0 d²0
m
1
d²x₁
1 dt²
1 dt²
□ d²0, 2
12 ==T₂R-TR
d1²
m1
1
=-T₂R+k(x₁+R0₂) R+ m₂gR
Od²0₂
2
2 d₁²
-=k(x₁+RØ₁) + T₁-m₁8
1
d²x₁
1 di²
3 dt²
=-k (x₁+R0₂) - T₁+mg
==
1
=T₁R-K(x₁+R0₂) R
1
-=k(x₁+RØ₁₂) +T₁+m₁8
1
1
d²x2
=m₂28R-T₁R
1
= T₁-m 38
2
Transcribed Image Text:mig Select corresponding force balance and moment balance equations. They are not equations of motion (until you eliminate T1 and T2 and eliminate redundant coordinates, x2 and 82), yet. Select all that apply. There is partial credits for this problem, but you also get negative scores for incorrect answers. Lowest overall grade is zero. 0 d²0. 1 1 dt² m m d²x 1 dt² 0 d²0 m 1 d²x₁ 1 dt² 1 dt² □ d²0, 2 12 ==T₂R-TR d1² m1 1 =-T₂R+k(x₁+R0₂) R+ m₂gR Od²0₂ 2 2 d₁² -=k(x₁+RØ₁) + T₁-m₁8 1 d²x₁ 1 di² 3 dt² =-k (x₁+R0₂) - T₁+mg == 1 =T₁R-K(x₁+R0₂) R 1 -=k(x₁+RØ₁₂) +T₁+m₁8 1 1 d²x2 =m₂28R-T₁R 1 = T₁-m 38 2
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