Gedämpftes 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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Exercise:
Ein mit einer zur Geschwindigkeit proportionalen Kraft gedämpftes Federpel Pelmasse mO Federkonstante DO wird ausgelenkt und losgelassen. Nach t beträgt die mögliche Amplitude nur noch etO der ursprünglichen. abclist abc Berechne die Schwingungsdauer dieses gedämpften Federpels auf vier wesentliche Ziffern genau. hfill abc Skizziere im folgen Diagramm die Auslenkung des Pels in Abhängigkeit der Zeit für die oben beschriebene Situation. hfill abclist center tikzpicture tkzInitxmin xmaxfpeval.*TX ymin- ymax ystepfpeval/ xstepfpevalTX/ tkzGridsub subxstepfpevalTX/ subystepfpeval/ tkzDrawYabove labely/simm tkzDrawXright labelt/sis tkzLabelY nodebelow at numround-precision round-modefiguresfpevalTX; nodebelow at numround-precision round-modefiguresfpeval*TX; tikzpicture center
Solution:
abclist abc al delta DF omega_ sqrtfracDm T fracpisqrtomega_^-delta^ TF fracpisqrtqtywo^-qtyd^ T abc phantom. center tikzpicture tkzInitxmin xmaxfpeval.*TX ymin- ymax ystepfpeval/ xstepfpevalTX/ tkzGridsub subxstepfpevalTX/ subystepfpeval/ tkzDrawYabove labely/simm tkzDrawXright labelt/sis tkzLabelY nodebelow at numround-precision round-modefiguresfpevalTX; nodebelow at numround-precision round-modefiguresfpeval*TX; tkzFctvery thick darkred domain:fpeval.*TXhyoOX*exp-dX*TX/*x*cos*pi/*x tkzFctvery thick blue domain:fpeval.*TX-hyoOX*exp-dX*TX/*x tkzFctvery thick blue domain:fpeval.*TXhyoOX*exp-dX*TX/*x tikzpicture center abclist
Ein mit einer zur Geschwindigkeit proportionalen Kraft gedämpftes Federpel Pelmasse mO Federkonstante DO wird ausgelenkt und losgelassen. Nach t beträgt die mögliche Amplitude nur noch etO der ursprünglichen. abclist abc Berechne die Schwingungsdauer dieses gedämpften Federpels auf vier wesentliche Ziffern genau. hfill abc Skizziere im folgen Diagramm die Auslenkung des Pels in Abhängigkeit der Zeit für die oben beschriebene Situation. hfill abclist center tikzpicture tkzInitxmin xmaxfpeval.*TX ymin- ymax ystepfpeval/ xstepfpevalTX/ tkzGridsub subxstepfpevalTX/ subystepfpeval/ tkzDrawYabove labely/simm tkzDrawXright labelt/sis tkzLabelY nodebelow at numround-precision round-modefiguresfpevalTX; nodebelow at numround-precision round-modefiguresfpeval*TX; tikzpicture center
Solution:
abclist abc al delta DF omega_ sqrtfracDm T fracpisqrtomega_^-delta^ TF fracpisqrtqtywo^-qtyd^ T abc phantom. center tikzpicture tkzInitxmin xmaxfpeval.*TX ymin- ymax ystepfpeval/ xstepfpevalTX/ tkzGridsub subxstepfpevalTX/ subystepfpeval/ tkzDrawYabove labely/simm tkzDrawXright labelt/sis tkzLabelY nodebelow at numround-precision round-modefiguresfpevalTX; nodebelow at numround-precision round-modefiguresfpeval*TX; tkzFctvery thick darkred domain:fpeval.*TXhyoOX*exp-dX*TX/*x*cos*pi/*x tkzFctvery thick blue domain:fpeval.*TX-hyoOX*exp-dX*TX/*x tkzFctvery thick blue domain:fpeval.*TXhyoOX*exp-dX*TX/*x tikzpicture center abclist
Meta Information
Exercise:
Ein mit einer zur Geschwindigkeit proportionalen Kraft gedämpftes Federpel Pelmasse mO Federkonstante DO wird ausgelenkt und losgelassen. Nach t beträgt die mögliche Amplitude nur noch etO der ursprünglichen. abclist abc Berechne die Schwingungsdauer dieses gedämpften Federpels auf vier wesentliche Ziffern genau. hfill abc Skizziere im folgen Diagramm die Auslenkung des Pels in Abhängigkeit der Zeit für die oben beschriebene Situation. hfill abclist center tikzpicture tkzInitxmin xmaxfpeval.*TX ymin- ymax ystepfpeval/ xstepfpevalTX/ tkzGridsub subxstepfpevalTX/ subystepfpeval/ tkzDrawYabove labely/simm tkzDrawXright labelt/sis tkzLabelY nodebelow at numround-precision round-modefiguresfpevalTX; nodebelow at numround-precision round-modefiguresfpeval*TX; tikzpicture center
Solution:
abclist abc al delta DF omega_ sqrtfracDm T fracpisqrtomega_^-delta^ TF fracpisqrtqtywo^-qtyd^ T abc phantom. center tikzpicture tkzInitxmin xmaxfpeval.*TX ymin- ymax ystepfpeval/ xstepfpevalTX/ tkzGridsub subxstepfpevalTX/ subystepfpeval/ tkzDrawYabove labely/simm tkzDrawXright labelt/sis tkzLabelY nodebelow at numround-precision round-modefiguresfpevalTX; nodebelow at numround-precision round-modefiguresfpeval*TX; tkzFctvery thick darkred domain:fpeval.*TXhyoOX*exp-dX*TX/*x*cos*pi/*x tkzFctvery thick blue domain:fpeval.*TX-hyoOX*exp-dX*TX/*x tkzFctvery thick blue domain:fpeval.*TXhyoOX*exp-dX*TX/*x tikzpicture center abclist
Ein mit einer zur Geschwindigkeit proportionalen Kraft gedämpftes Federpel Pelmasse mO Federkonstante DO wird ausgelenkt und losgelassen. Nach t beträgt die mögliche Amplitude nur noch etO der ursprünglichen. abclist abc Berechne die Schwingungsdauer dieses gedämpften Federpels auf vier wesentliche Ziffern genau. hfill abc Skizziere im folgen Diagramm die Auslenkung des Pels in Abhängigkeit der Zeit für die oben beschriebene Situation. hfill abclist center tikzpicture tkzInitxmin xmaxfpeval.*TX ymin- ymax ystepfpeval/ xstepfpevalTX/ tkzGridsub subxstepfpevalTX/ subystepfpeval/ tkzDrawYabove labely/simm tkzDrawXright labelt/sis tkzLabelY nodebelow at numround-precision round-modefiguresfpevalTX; nodebelow at numround-precision round-modefiguresfpeval*TX; tikzpicture center
Solution:
abclist abc al delta DF omega_ sqrtfracDm T fracpisqrtomega_^-delta^ TF fracpisqrtqtywo^-qtyd^ T abc phantom. center tikzpicture tkzInitxmin xmaxfpeval.*TX ymin- ymax ystepfpeval/ xstepfpevalTX/ tkzGridsub subxstepfpevalTX/ subystepfpeval/ tkzDrawYabove labely/simm tkzDrawXright labelt/sis tkzLabelY nodebelow at numround-precision round-modefiguresfpevalTX; nodebelow at numround-precision round-modefiguresfpeval*TX; tkzFctvery thick darkred domain:fpeval.*TXhyoOX*exp-dX*TX/*x*cos*pi/*x tkzFctvery thick blue domain:fpeval.*TX-hyoOX*exp-dX*TX/*x tkzFctvery thick blue domain:fpeval.*TXhyoOX*exp-dX*TX/*x tikzpicture center abclist
Contained in these collections
| Title | Matched on |
|---|---|
| Gedämpftes Federpendel | tagstitleformula |
| Geladene Kugel | tagsformula |
| U-Rohr | tagsformula |
| Gedämpfte schwingende Boje | tagsformula |
| U-Rohr | tagsformula |
Similar exercises (22)
| Title | Matched on |
|---|---|
| Gedämpftes Federpendel | tagstitleformula |
| Geladene Kugel | tagsformula |
| U-Rohr | tagsformula |
| Gedämpfte schwingende Boje | tagsformula |
| U-Rohr | tagsformula |
| Gedämpftes Federpendel | titleformula |
| Klettersturz | formula |
| Schwingungsverhalten | formula |
| Gedämpftes Federpendel | title |
| Gedämpfte schwingende Boje (kurz) | tagsformula |
| Gedämpfte schwingende Boje | tagsformula |
| Gedämpfte schwingende Boje | tagsformula |
| Gedämpfte schwingende Boje | tagsformula |
| Harmonisch schwingende Boje | formula |
| Gedämpfte schwingende Boje | formula |
| Gedämpfte schwingende Boje | formula |
| Harmonisch schwingendes Federpendel | formula |
| Genug lange schwingen | formula |
| Gedämpfte vs. ungedämpfte Schwingung | tags |
| Dämpfungskonstante | tags |
| Dämpfungskonstante | tags |
| Dämpfungskonstante | tags |

