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Force Equations
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If the table has friction, what is the y-direction equation for M
2
?
?
F
Normal
– F
weight
= m(0)
?
T
right
– F
friction
–T
left
= ma
?
T
right
– T
left
= ma
?
T
right
– F
friction
= ma
?
T
right
= ma
?
T
down
– T
up
= ma
?
F
weight
+ T
down
– T
up
= ma
?
0 = ma
?
F
weight
– T
up
= ma
If the table has friction, what is the x-direction equation for M
2
?
?
F
Normal
– F
weight
= m(0)
?
T
right
– F
friction
–T
left
= ma
?
T
right
– T
left
= ma
?
T
right
– F
friction
= ma
?
T
right
= ma
?
T
down
– T
up
= ma
?
F
weight
+ T
down
– T
up
= ma
?
0 = ma
?
F
weight
– T
up
= ma
If the table has no friction, what is the y-direction equation for M
2
?
?
F
Normal
– F
weight
= m(0)
?
T
right
– F
friction
–T
left
= ma
?
T
right
– T
left
= ma
?
T
right
– F
friction
= ma
?
T
right
= ma
?
T
down
– T
up
= ma
?
F
weight
+ T
down
– T
up
= ma
?
0 = ma
?
F
weight
– T
up
= ma
If the table has no friction, what is the x-direction equation for M
2
?
?
F
Normal
– F
weight
= m(0)
?
T
right
– F
friction
–T
left
= ma
?
T
right
– T
left
= ma
?
T
right
– F
friction
= ma
?
T
right
= ma
?
T
down
– T
up
= ma
?
F
weight
+ T
down
– T
up
= ma
?
0 = ma
?
F
weight
– T
up
= ma
If the table has friction, what is the y-direction equation for M
1
?
?
F
Normal
– F
weight
= m(0)
?
T
right
– F
friction
–T
left
= ma
?
T
right
– T
left
= ma
?
T
right
– F
friction
= ma
?
T
right
= ma
?
T
down
– T
up
= ma
?
F
weight
+ T
down
– T
up
= ma
?
0 = ma
?
F
weight
– T
up
= ma
If the table has friction, what is the x-direction equation for M
1
?
?
F
Normal
– F
weight
= m(0)
?
T
right
– F
friction
–T
left
= ma
?
T
right
– T
left
= ma
?
T
right
– F
friction
= ma
?
T
right
= ma
?
T
down
– T
up
= ma
?
F
weight
+ T
down
– T
up
= ma
?
0 = ma
?
F
weight
– T
up
= ma
If the table has no friction, what is the y-direction equation for M
1
?
?
F
Normal
– F
weight
= m(0)
?
T
right
– F
friction
–T
left
= ma
?
T
right
– T
left
= ma
?
T
right
– F
friction
= ma
?
T
right
= ma
?
T
down
– T
up
= ma
?
F
weight
+ T
down
– T
up
= ma
?
0 = ma
?
F
weight
– T
up
= ma
If the table has no friction, what is the x-direction equation for M
1
?
?
F
Normal
– F
weight
= m(0)
?
T
right
– F
friction
–T
left
= ma
?
T
right
– T
left
= ma
?
T
right
– F
friction
= ma
?
T
right
= ma
?
T
down
– T
up
= ma
?
F
weight
+ T
down
– T
up
= ma
?
0 = ma
?
F
weight
– T
up
= ma
What is the y-direction equation for M
3
?
?
F
Normal
– F
weight
= m(0)
?
T
right
– F
friction
–T
left
= ma
?
T
right
– T
left
= ma
?
T
right
– F
friction
= ma
?
T
right
= ma
?
T
down
– T
up
= ma
?
F
weight
+ T
down
– T
up
= ma
?
0 = ma
?
F
weight
– T
up
= ma
What is the x-direction equation for M
3
?
?
F
Normal
– F
weight
= m(0)
?
T
right
– F
friction
–T
left
= ma
?
T
right
– T
left
= ma
?
T
right
– F
friction
= ma
?
T
right
= ma
?
T
down
– T
up
= ma
?
F
weight
+ T
down
– T
up
= ma
?
0 = ma
?
F
weight
– T
up
= ma
What is the y-direction equation for M
4
?
?
F
Normal
– F
weight
= m(0)
?
T
right
– F
friction
–T
left
= ma
?
T
right
– T
left
= ma
?
T
right
– F
friction
= ma
?
T
right
= ma
?
T
down
– T
up
= ma
?
F
weight
+ T
down
– T
up
= ma
?
0 = ma
?
F
weight
– T
up
= ma
What is the x-direction equation for M
4
?
?
F
Normal
– F
weight
= m(0)
?
T
right
– F
friction
–T
left
= ma
?
T
right
– T
left
= ma
?
T
right
– F
friction
= ma
?
T
right
= ma
?
T
down
– T
up
= ma
?
F
weight
+ T
down
– T
up
= ma
?
0 = ma
?
F
weight
– T
up
= ma
What is the y-direction equation for M
1
?
?
T
up
– F
weight
= ma
?
0 = m(0)
?
F
weight
+ T
down
– T
up
= ma
?
F
weight
– T
up
= ma
?
T
up
= ma
?
T
right
– F
left
= ma
What is the x-direction equation for M
1
?
?
T
up
– F
weight
= ma
?
0 = m(0)
?
F
weight
+ T
down
– T
up
= ma
?
F
weight
– T
up
= ma
?
T
up
= ma
?
T
right
– F
left
= ma
What is the y-direction equation for M
2
?
?
T
up
– F
weight
= ma
?
0 = m(0)
?
F
weight
+ T
down
– T
up
= ma
?
F
weight
– T
up
= ma
?
T
up
= ma
?
T
right
– F
left
= ma
What is the x-direction equation for M
2
?
?
T
up
– F
weight
= ma
?
0 = m(0)
?
F
weight
+ T
down
– T
up
= ma
?
F
weight
– T
up
= ma
?
T
up
= ma
?
T
right
– F
left
= ma
What is the y-direction equation for M
3
?
?
T
up
– F
weight
= ma
?
0 = m(0)
?
F
weight
+ T
down
– T
up
= ma
?
F
weight
– T
up
= ma
?
T
up
= ma
?
T
right
– F
left
= ma
What is the y-direction equation for the car if there is air friction?
?
F
left
– F
friction
= ma
?
F
right
– F
friction
= ma
?
F
Normal
– F
weight
= ma
?
0 = ma
?
F
Normal
– F
friction
= ma
What is the x-direction equation for the car if there is air friction?
?
F
left
– F
friction
= ma
?
F
right
– F
friction
= ma
?
F
Normal
– F
weight
= ma
?
0 = ma
?
F
Normal
– F
friction
= ma
What is the y-direction equation for the mass on the two ropes?
?
T
1
+ T
2
– F
weight
= m(0)
?
T
1
sinθ
1
+ T
2
sinθ
2
– F
weight
= m(0)
?
T
1
sinθ
1
– T
2
sinθ
2
– F
weight
= m(0)
?
T
1
cosθ
1
+ T
2
cosθ
2
= m(0)
?
T
1
cosθ
1
+ T
2
cosθ
2
– F
weight
= m(0)
?
T
1
cosθ
1
– T
2
cosθ
2
= m(0)
What is the x-direction equation for the mass on the two ropes?
?
T
1
+ T
2
– F
weight
= m(0)
?
T
1
sinθ
1
+ T
2
sinθ
2
– F
weight
= m(0)
?
T
1
sinθ
1
– T
2
sinθ
2
– F
weight
= m(0)
?
T
1
cosθ
1
+ T
2
cosθ
2
= m(0)
?
T
1
cosθ
1
+ T
2
cosθ
2
– F
weight
= m(0)
?
T
1
cosθ
1
– T
2
cosθ
2
= m(0)
OK
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Reset This Exercise