Atwood Machine
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Atwood Machine
description
Atwood Machine. Atwood Machine. Would this move?. 100 kg. 100 kg. Atwood Machine. Would this move?. F T. F T. Which way?. Forces?. 200 kg. 100 kg. Fg = w. Fg = w. Let’s break this up and analyze each mass…. a. F T. F T. Compare the tension force now to when it’s not moving?. - PowerPoint PPT Presentation
Transcript of Atwood Machine
Atwood Machine
Atwood Machine
100 kg 100 kg
Would this move?
Atwood Machine
200 kg
100 kg
Would this move?
Which way?
Forces?
Fg = w
Fg = w
FTFT
Let’s break this up and analyze each mass…
200 kg
100 kg
Fg = w
Fg = w
FTFT
a
Compare the tension force now to when it’s not moving?
TENSION IS LESS
ΣF = 0 vs. ΣF = ma
200 kg
100 kg
Fg = w
FTFT
a
Compare the tension force now to when it’s not moving?
TENSION IS MORE
ΣF = 0 vs. ΣF = ma
200 kg
100 kg
Fg = w
Fg = w
FTFT
ΣF200 = -m200a
ΣF200 = FT – m200g
- m200a = FT – m200g
ΣF100 = m100a
ΣF100 = FT – m100g
-m200a = m100a + m100g – m200g
FT = m100a + m100g
m100a = FT – m100g
JOIN
-m200a = m100a + m100g – m100g
a = 10 m/s2 (-100kg + 200kg) (200kg + 100kg)
= 3.3 m/s2
- m100a- m100a
- m200a - m100a = m100g – m200g
+ m200a + m100a = - m100g + m200g
a (m200 + m100) = - m100g + m200g
(m200 + m100) (m200 + m100)
a = g (-m100 + m200) (m200 + m100)
a = 1000N 300kg
FT = m100a + m100g
FT = 100kg (3.3m/s2) + 100kg (10m/s2)
FT = 330 N + 1000 N
FT = 1330 N
1000 kg
500 kg
Which way would this move?
Forces?
Atwood Machine –Try this one…
Fg = w
Fg = w
FTFTFind the acceleration.
