Harmonisch schwingendes Federpendel
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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The following quantities appear in the problem:
The following formulas must be used to solve the exercise:
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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:
abclist abc Ein Federpel mit Ahyo Amplitude schwinge in ATo einmal hin und her. Wie gross ist seine Auslenkung Ato nach einem Nulldurchgang? abc tob nach einem Nulldurchgang ist ein mit fob schwinges Federpel ybo ausgelenkt. Wie gross ist seine maximale Elongation? abc Ein Federpel werde Chyo ausgelenkt und losgelassen. Mit welcher Kreisfrequenz schwingt es wenn es Cto nach dem Loslassen zum ersten Mal Cyo ausgelenkt ist? abc Ein Federpel werde Dhyo ausgelenkt losgelassen und schwinge dann mit DWo. Wie viel Zeit vergeht nach einem Durchgang durch den Nullpunkt bis es zum ersten Mal Dyo ausgelenkt ist? abclist
Solution:
abclist abc al y Ayf Ahy sinSciATCAtoC Ay approx AyII abc al hat y hybf fracybsinfbCtob hyb approx hybII abc al omega CWf fracCtarccosfracCyChy CW approx CWII abc al t Dtf fracDWarcsinfracDyDhy Dt approx DtII abclist
abclist abc Ein Federpel mit Ahyo Amplitude schwinge in ATo einmal hin und her. Wie gross ist seine Auslenkung Ato nach einem Nulldurchgang? abc tob nach einem Nulldurchgang ist ein mit fob schwinges Federpel ybo ausgelenkt. Wie gross ist seine maximale Elongation? abc Ein Federpel werde Chyo ausgelenkt und losgelassen. Mit welcher Kreisfrequenz schwingt es wenn es Cto nach dem Loslassen zum ersten Mal Cyo ausgelenkt ist? abc Ein Federpel werde Dhyo ausgelenkt losgelassen und schwinge dann mit DWo. Wie viel Zeit vergeht nach einem Durchgang durch den Nullpunkt bis es zum ersten Mal Dyo ausgelenkt ist? abclist
Solution:
abclist abc al y Ayf Ahy sinSciATCAtoC Ay approx AyII abc al hat y hybf fracybsinfbCtob hyb approx hybII abc al omega CWf fracCtarccosfracCyChy CW approx CWII abc al t Dtf fracDWarcsinfracDyDhy Dt approx DtII abclist
Meta Information
Exercise:
abclist abc Ein Federpel mit Ahyo Amplitude schwinge in ATo einmal hin und her. Wie gross ist seine Auslenkung Ato nach einem Nulldurchgang? abc tob nach einem Nulldurchgang ist ein mit fob schwinges Federpel ybo ausgelenkt. Wie gross ist seine maximale Elongation? abc Ein Federpel werde Chyo ausgelenkt und losgelassen. Mit welcher Kreisfrequenz schwingt es wenn es Cto nach dem Loslassen zum ersten Mal Cyo ausgelenkt ist? abc Ein Federpel werde Dhyo ausgelenkt losgelassen und schwinge dann mit DWo. Wie viel Zeit vergeht nach einem Durchgang durch den Nullpunkt bis es zum ersten Mal Dyo ausgelenkt ist? abclist
Solution:
abclist abc al y Ayf Ahy sinSciATCAtoC Ay approx AyII abc al hat y hybf fracybsinfbCtob hyb approx hybII abc al omega CWf fracCtarccosfracCyChy CW approx CWII abc al t Dtf fracDWarcsinfracDyDhy Dt approx DtII abclist
abclist abc Ein Federpel mit Ahyo Amplitude schwinge in ATo einmal hin und her. Wie gross ist seine Auslenkung Ato nach einem Nulldurchgang? abc tob nach einem Nulldurchgang ist ein mit fob schwinges Federpel ybo ausgelenkt. Wie gross ist seine maximale Elongation? abc Ein Federpel werde Chyo ausgelenkt und losgelassen. Mit welcher Kreisfrequenz schwingt es wenn es Cto nach dem Loslassen zum ersten Mal Cyo ausgelenkt ist? abc Ein Federpel werde Dhyo ausgelenkt losgelassen und schwinge dann mit DWo. Wie viel Zeit vergeht nach einem Durchgang durch den Nullpunkt bis es zum ersten Mal Dyo ausgelenkt ist? abclist
Solution:
abclist abc al y Ayf Ahy sinSciATCAtoC Ay approx AyII abc al hat y hybf fracybsinfbCtob hyb approx hybII abc al omega CWf fracCtarccosfracCyChy CW approx CWII abc al t Dtf fracDWarcsinfracDyDhy Dt approx DtII abclist
Contained in these collections:
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Harmonische Schwingung 0 by uz
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Schwingungsfunktion by TeXercises
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Federpendel by pw
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Pendel by aej