Homer Simpson auf der Kante
About points...
We associate a certain number of points with each exercise.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
About difficulty...
We associate a certain difficulty with each exercise.
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise
Level 5 -
Level 6 -
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise
Level 5 -
Level 6 -
Question
Solution
Short
Video
\(\LaTeX\)
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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:
vspacemm noindentTwoColumnExercise.. Ein pqm langer Balken mit der Masse pqkg rage über eine Hauskante hinaus wie in nebensteher Abbildung gezeigt. Der Balken sei nicht befestigt sondern liege einfach auf. Der Arbeiter Homer Sion mit pqkg Masse habe den Balken so ausgelegt dass er gerade bis an das überhänge Ende laufen kann. Wie weit steht der Balken über x in der Abbildung? vspacemm center includegraphicswidth.textwidth#image_path:sion-auf-kante# center
Solution:
Homer Sion übt ein Drehmoment stackrelcurvearrowrightM F_S r_s m_S g x auf den Balken aus. Die Gewichtskraft des Balkens selbst erzeugt ein Drehmoment stackrelcurvearrowleftM F_B r_B m_B g leftfracl-xright Damit Sion gerade am Ende des Balkens stehen kann müssen die beiden Drehmomente gleich sein stackrelcurvearrowrightM stackrelcurvearrowleftM m_S g x m_B g leftfracl-xright m_S x m_B leftfracl-xright m_S x m_B fracl- m_B x m_S+m_B x m_B fracl x fracm_Bm_S+m_B fracl pq.m.
vspacemm noindentTwoColumnExercise.. Ein pqm langer Balken mit der Masse pqkg rage über eine Hauskante hinaus wie in nebensteher Abbildung gezeigt. Der Balken sei nicht befestigt sondern liege einfach auf. Der Arbeiter Homer Sion mit pqkg Masse habe den Balken so ausgelegt dass er gerade bis an das überhänge Ende laufen kann. Wie weit steht der Balken über x in der Abbildung? vspacemm center includegraphicswidth.textwidth#image_path:sion-auf-kante# center
Solution:
Homer Sion übt ein Drehmoment stackrelcurvearrowrightM F_S r_s m_S g x auf den Balken aus. Die Gewichtskraft des Balkens selbst erzeugt ein Drehmoment stackrelcurvearrowleftM F_B r_B m_B g leftfracl-xright Damit Sion gerade am Ende des Balkens stehen kann müssen die beiden Drehmomente gleich sein stackrelcurvearrowrightM stackrelcurvearrowleftM m_S g x m_B g leftfracl-xright m_S x m_B leftfracl-xright m_S x m_B fracl- m_B x m_S+m_B x m_B fracl x fracm_Bm_S+m_B fracl pq.m.
Meta Information
Exercise:
vspacemm noindentTwoColumnExercise.. Ein pqm langer Balken mit der Masse pqkg rage über eine Hauskante hinaus wie in nebensteher Abbildung gezeigt. Der Balken sei nicht befestigt sondern liege einfach auf. Der Arbeiter Homer Sion mit pqkg Masse habe den Balken so ausgelegt dass er gerade bis an das überhänge Ende laufen kann. Wie weit steht der Balken über x in der Abbildung? vspacemm center includegraphicswidth.textwidth#image_path:sion-auf-kante# center
Solution:
Homer Sion übt ein Drehmoment stackrelcurvearrowrightM F_S r_s m_S g x auf den Balken aus. Die Gewichtskraft des Balkens selbst erzeugt ein Drehmoment stackrelcurvearrowleftM F_B r_B m_B g leftfracl-xright Damit Sion gerade am Ende des Balkens stehen kann müssen die beiden Drehmomente gleich sein stackrelcurvearrowrightM stackrelcurvearrowleftM m_S g x m_B g leftfracl-xright m_S x m_B leftfracl-xright m_S x m_B fracl- m_B x m_S+m_B x m_B fracl x fracm_Bm_S+m_B fracl pq.m.
vspacemm noindentTwoColumnExercise.. Ein pqm langer Balken mit der Masse pqkg rage über eine Hauskante hinaus wie in nebensteher Abbildung gezeigt. Der Balken sei nicht befestigt sondern liege einfach auf. Der Arbeiter Homer Sion mit pqkg Masse habe den Balken so ausgelegt dass er gerade bis an das überhänge Ende laufen kann. Wie weit steht der Balken über x in der Abbildung? vspacemm center includegraphicswidth.textwidth#image_path:sion-auf-kante# center
Solution:
Homer Sion übt ein Drehmoment stackrelcurvearrowrightM F_S r_s m_S g x auf den Balken aus. Die Gewichtskraft des Balkens selbst erzeugt ein Drehmoment stackrelcurvearrowleftM F_B r_B m_B g leftfracl-xright Damit Sion gerade am Ende des Balkens stehen kann müssen die beiden Drehmomente gleich sein stackrelcurvearrowrightM stackrelcurvearrowleftM m_S g x m_B g leftfracl-xright m_S x m_B leftfracl-xright m_S x m_B fracl- m_B x m_S+m_B x m_B fracl x fracm_Bm_S+m_B fracl pq.m.
Contained in these collections
| Title | Creator | Matched on |
|---|---|---|
| Rad zwischen zwei Ebenen | uz | tags |
| Bürotischplatte | uz | tags |
| Festbank | uz | tags |
| Gleichgewicht | uz | tags |
| Senner Hugo | uz | tags |
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| Festbank | uz | tags |
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| Senner Hugo | uz | tags |
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| Kugel auf schiefer Ebene | uz | tags |
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