Brett mit Scharnier
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
\(\LaTeX\)
Need help? Yes, please!
The following quantities appear in the problem:
Drehmoment \(\vec M\) /
The following formulas must be used to solve the exercise:
\(\sum \stackrel{\curvearrowleft}{M} \stackrel{!}{=} \sum \stackrel{\curvearrowright}{M} \quad \)
No explanation / solution video to this exercise has yet been created.
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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:
Ein .m langes Brett mit einer Masse von .kg sei an einem Ende an einem Scharnier befestigt. Eine Kraft wirke auf das andere Ende des Brettes und hebe so einen Körper mit einer Masse von .kg an dessen Schwerpunkt sich cm vom Scharnier entfernt befindet. abcliste abc Welche Kraft ist nötig um das Brett unter einem Winkel von ang zu halten? abc Bestimme die Kraft welche bei diesem Winkel vom Scharnier auf das Brett ausgeübt wird. abcliste center tikzpicture filldrawcolorblack fillblack!!white - rectangle -.; filldrawcolorblack fillwhite rectangle .-.; filldrawcolorblack fillwhite rotate rectangle ..; filldrawcolorblack fillblack circle .cm; filldrawcolorblack fillred!!yellow!!black rotate . rectangle ..; filldrawcolorblack fillblack rotate .. rectangle ..; draw-thick colorred latex .++:. --+ nodeabove vec F; tikzpicture center
Solution:
abcliste abc Für die Drehmomente gilt: stackrelcurvearrowleftM stackrelcurvearrowrightM r_ F r_ F_B + r_ F_K ell cosalpha F fracell cosalpha F_B+ ell_ cosalpha F_K F fracfracell cosalpha F_B+ ell_ cosalpha F_Kell cosalpha .N abc Da nur vertikale Kräfte wirken und keine horizontalen Kräfte findet man sehr einfach: F_uparrow F_downarrow F_S + F F_B + F_K F_S F_B + F_K - F .N abcliste
Ein .m langes Brett mit einer Masse von .kg sei an einem Ende an einem Scharnier befestigt. Eine Kraft wirke auf das andere Ende des Brettes und hebe so einen Körper mit einer Masse von .kg an dessen Schwerpunkt sich cm vom Scharnier entfernt befindet. abcliste abc Welche Kraft ist nötig um das Brett unter einem Winkel von ang zu halten? abc Bestimme die Kraft welche bei diesem Winkel vom Scharnier auf das Brett ausgeübt wird. abcliste center tikzpicture filldrawcolorblack fillblack!!white - rectangle -.; filldrawcolorblack fillwhite rectangle .-.; filldrawcolorblack fillwhite rotate rectangle ..; filldrawcolorblack fillblack circle .cm; filldrawcolorblack fillred!!yellow!!black rotate . rectangle ..; filldrawcolorblack fillblack rotate .. rectangle ..; draw-thick colorred latex .++:. --+ nodeabove vec F; tikzpicture center
Solution:
abcliste abc Für die Drehmomente gilt: stackrelcurvearrowleftM stackrelcurvearrowrightM r_ F r_ F_B + r_ F_K ell cosalpha F fracell cosalpha F_B+ ell_ cosalpha F_K F fracfracell cosalpha F_B+ ell_ cosalpha F_Kell cosalpha .N abc Da nur vertikale Kräfte wirken und keine horizontalen Kräfte findet man sehr einfach: F_uparrow F_downarrow F_S + F F_B + F_K F_S F_B + F_K - F .N abcliste
Meta Information
Exercise:
Ein .m langes Brett mit einer Masse von .kg sei an einem Ende an einem Scharnier befestigt. Eine Kraft wirke auf das andere Ende des Brettes und hebe so einen Körper mit einer Masse von .kg an dessen Schwerpunkt sich cm vom Scharnier entfernt befindet. abcliste abc Welche Kraft ist nötig um das Brett unter einem Winkel von ang zu halten? abc Bestimme die Kraft welche bei diesem Winkel vom Scharnier auf das Brett ausgeübt wird. abcliste center tikzpicture filldrawcolorblack fillblack!!white - rectangle -.; filldrawcolorblack fillwhite rectangle .-.; filldrawcolorblack fillwhite rotate rectangle ..; filldrawcolorblack fillblack circle .cm; filldrawcolorblack fillred!!yellow!!black rotate . rectangle ..; filldrawcolorblack fillblack rotate .. rectangle ..; draw-thick colorred latex .++:. --+ nodeabove vec F; tikzpicture center
Solution:
abcliste abc Für die Drehmomente gilt: stackrelcurvearrowleftM stackrelcurvearrowrightM r_ F r_ F_B + r_ F_K ell cosalpha F fracell cosalpha F_B+ ell_ cosalpha F_K F fracfracell cosalpha F_B+ ell_ cosalpha F_Kell cosalpha .N abc Da nur vertikale Kräfte wirken und keine horizontalen Kräfte findet man sehr einfach: F_uparrow F_downarrow F_S + F F_B + F_K F_S F_B + F_K - F .N abcliste
Ein .m langes Brett mit einer Masse von .kg sei an einem Ende an einem Scharnier befestigt. Eine Kraft wirke auf das andere Ende des Brettes und hebe so einen Körper mit einer Masse von .kg an dessen Schwerpunkt sich cm vom Scharnier entfernt befindet. abcliste abc Welche Kraft ist nötig um das Brett unter einem Winkel von ang zu halten? abc Bestimme die Kraft welche bei diesem Winkel vom Scharnier auf das Brett ausgeübt wird. abcliste center tikzpicture filldrawcolorblack fillblack!!white - rectangle -.; filldrawcolorblack fillwhite rectangle .-.; filldrawcolorblack fillwhite rotate rectangle ..; filldrawcolorblack fillblack circle .cm; filldrawcolorblack fillred!!yellow!!black rotate . rectangle ..; filldrawcolorblack fillblack rotate .. rectangle ..; draw-thick colorred latex .++:. --+ nodeabove vec F; tikzpicture center
Solution:
abcliste abc Für die Drehmomente gilt: stackrelcurvearrowleftM stackrelcurvearrowrightM r_ F r_ F_B + r_ F_K ell cosalpha F fracell cosalpha F_B+ ell_ cosalpha F_K F fracfracell cosalpha F_B+ ell_ cosalpha F_Kell cosalpha .N abc Da nur vertikale Kräfte wirken und keine horizontalen Kräfte findet man sehr einfach: F_uparrow F_downarrow F_S + F F_B + F_K F_S F_B + F_K - F .N abcliste
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