Flaschenzug I
Question
Solution
Short
Video
\(\LaTeX\)
Need help? Yes, please!
The following quantities appear in the problem:
The following formulas must be used to solve the exercise:
No explanation / solution video to this exercise has yet been created.
Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Für den Flaschenzug in der Abbildung soll center tikzpicturescale. % Decke draw fillgraydrawnone rectangle .; draw thick -- ; % Flaschenzug draw drawblackfillgraythick circle .cm; draw drawblackfillblack circle .cm; draw very thick -- ++ -; draw drawblackfillgraythick circle .cm; draw drawblackfillblack circle .cm; draw very thick -- ++ -; % Untere Rolle draw drawblackfillgraythick circle .cm; draw very thick -- ++ ; draw drawblackfillblack circle .cm; % Seil draw . -- ++ -; draw . -- ++ -; draw . -- ++ - -- ++ . -- ++ -.- -- ++ -.; draw . -- ++ -.; draw . -- ++ -.; % Kraft draw Dandelion-thick .. -- node right fns vec F ++ -; % Masse draw drawbrown fillbrown! .. rectangle node brown fns m ++ -.; tikzpicture center enumerate item die Kraft F für eine Masse von m t berechnet werden. item Welche Strecke verrichten Sie falls die Masse um h meter angehoben werden soll? enumerate
Solution:
center tikzpicturescale. % Decke draw fillgraydrawnone rectangle .; draw thick -- ; % Flaschenzug draw drawblackfillgraythick circle .cm; draw drawblackfillblack circle .cm; draw very thick -- ++ -; draw drawblackfillgraythick circle .cm; draw drawblackfillblack circle .cm; draw very thick -- ++ -; % Untere Rolle draw drawblackfillgraythick circle .cm; draw very thick -- ++ ; draw drawblackfillblack circle .cm; % Seil draw . -- ++ -; draw . -- ++ -; draw . -- ++ - -- ++ . -- ++ -.- -- ++ -.; draw . -- ++ -.; draw . -- ++ -.; % Kraefte draw redthick- . -- node right tiny vec F ++ -.; draw redthick- . -- node left tiny vec F ++ -.; draw redthick- . -- node left tiny vec F ++ -.; draw redthick- . -- node right tiny vec F ++ -.; draw redthick- . -- node right tiny vec F ++ .; draw redthick- . -- node left tiny vec F ++ .; draw redthick- -- node right tiny vec F ++ -; % Kraft draw Dandelion-thick .. -- node right fns vec F ++ -.; % Masse draw drawbrown fillbrown! .. rectangle node brown fns m ++ -.; tikzpicture center enumerate item Nach dem man alle Kräfte eingezeichnet hat sieht man vgl. Abb. d.h. F fracF_G approx .kilonewton. item Die Arbeit muss für beide gleich sein d.h. W_ F_G h F y W_ Rightarrow y fracF_GF h meter. enumerate
Für den Flaschenzug in der Abbildung soll center tikzpicturescale. % Decke draw fillgraydrawnone rectangle .; draw thick -- ; % Flaschenzug draw drawblackfillgraythick circle .cm; draw drawblackfillblack circle .cm; draw very thick -- ++ -; draw drawblackfillgraythick circle .cm; draw drawblackfillblack circle .cm; draw very thick -- ++ -; % Untere Rolle draw drawblackfillgraythick circle .cm; draw very thick -- ++ ; draw drawblackfillblack circle .cm; % Seil draw . -- ++ -; draw . -- ++ -; draw . -- ++ - -- ++ . -- ++ -.- -- ++ -.; draw . -- ++ -.; draw . -- ++ -.; % Kraft draw Dandelion-thick .. -- node right fns vec F ++ -; % Masse draw drawbrown fillbrown! .. rectangle node brown fns m ++ -.; tikzpicture center enumerate item die Kraft F für eine Masse von m t berechnet werden. item Welche Strecke verrichten Sie falls die Masse um h meter angehoben werden soll? enumerate
Solution:
center tikzpicturescale. % Decke draw fillgraydrawnone rectangle .; draw thick -- ; % Flaschenzug draw drawblackfillgraythick circle .cm; draw drawblackfillblack circle .cm; draw very thick -- ++ -; draw drawblackfillgraythick circle .cm; draw drawblackfillblack circle .cm; draw very thick -- ++ -; % Untere Rolle draw drawblackfillgraythick circle .cm; draw very thick -- ++ ; draw drawblackfillblack circle .cm; % Seil draw . -- ++ -; draw . -- ++ -; draw . -- ++ - -- ++ . -- ++ -.- -- ++ -.; draw . -- ++ -.; draw . -- ++ -.; % Kraefte draw redthick- . -- node right tiny vec F ++ -.; draw redthick- . -- node left tiny vec F ++ -.; draw redthick- . -- node left tiny vec F ++ -.; draw redthick- . -- node right tiny vec F ++ -.; draw redthick- . -- node right tiny vec F ++ .; draw redthick- . -- node left tiny vec F ++ .; draw redthick- -- node right tiny vec F ++ -; % Kraft draw Dandelion-thick .. -- node right fns vec F ++ -.; % Masse draw drawbrown fillbrown! .. rectangle node brown fns m ++ -.; tikzpicture center enumerate item Nach dem man alle Kräfte eingezeichnet hat sieht man vgl. Abb. d.h. F fracF_G approx .kilonewton. item Die Arbeit muss für beide gleich sein d.h. W_ F_G h F y W_ Rightarrow y fracF_GF h meter. enumerate