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https://texercises.com/exercise/matura-m-teil-1-atwoodsche-fallmaschine/
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Exercise:
Falls zwei Körper verschiedener Masse über ein auf einer Rolle liegem Seil verbunden sind -- wie schnell schlägt dann der schwerere Körper am Boden auf?

Solution:
tikzpicturescale. draw fillgray opacity. circle cm nodecolorblack opacity at .-.M; draw fillblack circle . cm; drawvery thickblack :. arc :-:. ; drawvery thickblack . arc ::.; drawvery thickblack . -- ..; drawvery thickblack -. -- -..; drawvery thickblack .. -- -..; drawvery thickblack. -- .; drawblue - -- nodemidway above r; drawdashed -- -; drawdashed - -- --; drawcolorgreen!!white fillgreen!!white .- rectangle --. ; draw very thickred- ----. nodeleft a; draw very thickorang -- -- --. nodeleft F_; draw very thickorang - -- -. noderight F_; drawvery thick darkgreen- -- - noderight F_; drawvery thick darkgreen- - -- -- nodeleft F_; drawvery thickblue- .- --.- nodemidway right h; drawfillgray .- rectangle .- node at - m_; draw fillgray -- rectangle -- node at -- m_; tikzpicture bf Translation: m_ a F_i m_g- FZ_ m_ a F_i FZ_ - m_g bf Rotation: M_i J alpha RFZ_-FZ_ J fracaR FZ_-FZ_ fracMR^ fracaR^ frac Ma bf Algebra: FZ_-FZ_ m_g-m_a -m_g-m_a frac Ma m_-m_g - m_+m_ a a gfracm_-m_m_+m_+fracM v sqrtha
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Exercise:
Falls zwei Körper verschiedener Masse über ein auf einer Rolle liegem Seil verbunden sind -- wie schnell schlägt dann der schwerere Körper am Boden auf?

Solution:
tikzpicturescale. draw fillgray opacity. circle cm nodecolorblack opacity at .-.M; draw fillblack circle . cm; drawvery thickblack :. arc :-:. ; drawvery thickblack . arc ::.; drawvery thickblack . -- ..; drawvery thickblack -. -- -..; drawvery thickblack .. -- -..; drawvery thickblack. -- .; drawblue - -- nodemidway above r; drawdashed -- -; drawdashed - -- --; drawcolorgreen!!white fillgreen!!white .- rectangle --. ; draw very thickred- ----. nodeleft a; draw very thickorang -- -- --. nodeleft F_; draw very thickorang - -- -. noderight F_; drawvery thick darkgreen- -- - noderight F_; drawvery thick darkgreen- - -- -- nodeleft F_; drawvery thickblue- .- --.- nodemidway right h; drawfillgray .- rectangle .- node at - m_; draw fillgray -- rectangle -- node at -- m_; tikzpicture bf Translation: m_ a F_i m_g- FZ_ m_ a F_i FZ_ - m_g bf Rotation: M_i J alpha RFZ_-FZ_ J fracaR FZ_-FZ_ fracMR^ fracaR^ frac Ma bf Algebra: FZ_-FZ_ m_g-m_a -m_g-m_a frac Ma m_-m_g - m_+m_ a a gfracm_-m_m_+m_+fracM v sqrtha
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Tags
atwood, atwoodsche fallmaschine, beschleunigung, fall, fallen, matura, mechanik, mündlich, pam, physik, zw
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Difficulty
(1, default)
Points
1 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
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Link