TeXercises.com

Schiefe Ebene mit Haftreibung

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.

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 -

Exercise

https://texercises.com/exercise/schiefe-ebene-mit-haftreibung/

Question

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Exercise:
Die Haftreibung mu_H . vermag einen Körper der Masse pq.kg nicht auf einer schiefen Ebene mit dem Winkel alphagrad im Gleichgewicht zu halten. abcliste abc Mit welcher Kraft muss der Körper mindestens gehalten werden damit er nicht der Ebene nach hinunter gleitet? abc Mit welcher Beschleunigung würde sich der Körper ohne die Kraft aus a in Bewegung setzen? abcliste

Solution:
abcliste abc Die Hangabtriebskraft -- also die Gewichtskraftkomponente entlang der schiefen Ebene -- ist F_parallel FG sinalpha mg sinalpha pq.kg pqNpgksingrad pq.N. Die Haftreibung wirkt dieser Kraft mit FH mu_H FN mu_H FG cosalpha pq.N entgegen. Damit der Körper nicht der Ebene entlang hinunter rutscht muss also noch zusätzlich mit der Kraft pq.N von unten gegen ihn gedrückt werden. abc Ohne die Kraft aus a würde der Körper mit der Kraft pq.N der Ebene nach hinunter bewegt. Das entspricht der Beschleunigung a fracFm fracpq.Npq.kg pq.q. abcliste

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Tags	haftreibung, kraft, kraftwirkungsgesetz, mechanik, newtonsches gesetz, physik, reibung, schiefe ebene, winkel
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Difficulty	(3, default)
Points	4 (default)
Language	(Deutsch)
Type	Calculative / Quantity
Creator	uz
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