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Atwood Machine

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?.

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Atwood Machine

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  1. Atwood Machine

  2. Atwood Machine Would this move? 100 kg 100 kg

  3. Atwood Machine Would this move? FT FT Which way? Forces? 200 kg 100 kg Fg = w Fg = w Let’s break this up and analyze each mass…

  4. a FT FT Compare the tension force now to when it’s not moving? 200 kg 100 kg ΣF = 0 vs. ΣF = ma Fg = w TENSION IS LESS Fg = w

  5. a Compare the tension force now to when it’s not moving? FT FT ΣF = 0 vs. ΣF = ma 200 kg 100 kg Fg = w TENSION IS MORE

  6. ΣF200 = -m200a ΣF100 = m100a ΣF200 = FT – m200g FT FT ΣF100 = FT – m100g - m200a = FT – m200g 200 kg 100 kg m100a = FT – m100g FT = m100a + m100g Fg = w Fg = w JOIN -m200a = m100a + m100g – m200g

  7. -m200a = m100a + m100g – m100g FT = m100a + m100g - m100a - m100a FT = 100kg (3.3m/s2) + 100kg (10m/s2) - m200a - m100a = m100g – m200g FT = 330 N + 1000 N + m200a + m100a = - m100g + m200g FT = 1330 N a (m200 + m100) = - m100g + m200g (m200 + m100) (m200 + m100) a = g (-m100 + m200) (m200 + m100) a = 10 m/s2 (-100kg + 200kg) (200kg + 100kg) a = 1000N 300kg = 3.3 m/s2

  8. Atwood Machine –Try this one… Which way would this move? Forces? FT FT Find the acceleration. 500 kg 1000 kg Fg = w Fg = w

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