Scheibe als Kreisel
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:
Eine homogene Scheibe mit mO Masse und rO Radius sei in der Mitte einer lO langen horizontalen Achse montiert welche an einem Ende an einem Gelenk befestigt sei. Die Scheibe werde anschliess in Rotation versetzt so dass sie sich mit wO dreht. Dem losen Ende der Achse werde eine Anfangsgeschwindigkeit gegeben so dass die Achse horizontal ohne Nutation präzediert. abcliste abc Bestimme die Winkelgeschwindigkeit der Präzession. abc Wie gross ist die Geschwindigkeit des Massenmittelpunktes währ der Präzession? abc Wie gross ist die Beschleunigung des Schwerpunktes und welche Richtung hat sie? abc Wie gross sind die horizontalen und die vertikalen Komponenten der Kraft welche das Gelenk ausübt? abcliste
Solution:
abcliste abc Die Winkelgeschwindigkeit der Präzession ist: Omega fracML fracMJomega fracfracl FGfrac mr^ omega fracfracl FGfrac mr^ pi f .radianpersecond Das entspricht f_p.Hz. abc Die Geschindigkeit des Massenmittelpunktes ist: v fracl omega .meterpersecond abc - abc - abcliste
Eine homogene Scheibe mit mO Masse und rO Radius sei in der Mitte einer lO langen horizontalen Achse montiert welche an einem Ende an einem Gelenk befestigt sei. Die Scheibe werde anschliess in Rotation versetzt so dass sie sich mit wO dreht. Dem losen Ende der Achse werde eine Anfangsgeschwindigkeit gegeben so dass die Achse horizontal ohne Nutation präzediert. abcliste abc Bestimme die Winkelgeschwindigkeit der Präzession. abc Wie gross ist die Geschwindigkeit des Massenmittelpunktes währ der Präzession? abc Wie gross ist die Beschleunigung des Schwerpunktes und welche Richtung hat sie? abc Wie gross sind die horizontalen und die vertikalen Komponenten der Kraft welche das Gelenk ausübt? abcliste
Solution:
abcliste abc Die Winkelgeschwindigkeit der Präzession ist: Omega fracML fracMJomega fracfracl FGfrac mr^ omega fracfracl FGfrac mr^ pi f .radianpersecond Das entspricht f_p.Hz. abc Die Geschindigkeit des Massenmittelpunktes ist: v fracl omega .meterpersecond abc - abc - abcliste
Meta Information
Exercise:
Eine homogene Scheibe mit mO Masse und rO Radius sei in der Mitte einer lO langen horizontalen Achse montiert welche an einem Ende an einem Gelenk befestigt sei. Die Scheibe werde anschliess in Rotation versetzt so dass sie sich mit wO dreht. Dem losen Ende der Achse werde eine Anfangsgeschwindigkeit gegeben so dass die Achse horizontal ohne Nutation präzediert. abcliste abc Bestimme die Winkelgeschwindigkeit der Präzession. abc Wie gross ist die Geschwindigkeit des Massenmittelpunktes währ der Präzession? abc Wie gross ist die Beschleunigung des Schwerpunktes und welche Richtung hat sie? abc Wie gross sind die horizontalen und die vertikalen Komponenten der Kraft welche das Gelenk ausübt? abcliste
Solution:
abcliste abc Die Winkelgeschwindigkeit der Präzession ist: Omega fracML fracMJomega fracfracl FGfrac mr^ omega fracfracl FGfrac mr^ pi f .radianpersecond Das entspricht f_p.Hz. abc Die Geschindigkeit des Massenmittelpunktes ist: v fracl omega .meterpersecond abc - abc - abcliste
Eine homogene Scheibe mit mO Masse und rO Radius sei in der Mitte einer lO langen horizontalen Achse montiert welche an einem Ende an einem Gelenk befestigt sei. Die Scheibe werde anschliess in Rotation versetzt so dass sie sich mit wO dreht. Dem losen Ende der Achse werde eine Anfangsgeschwindigkeit gegeben so dass die Achse horizontal ohne Nutation präzediert. abcliste abc Bestimme die Winkelgeschwindigkeit der Präzession. abc Wie gross ist die Geschwindigkeit des Massenmittelpunktes währ der Präzession? abc Wie gross ist die Beschleunigung des Schwerpunktes und welche Richtung hat sie? abc Wie gross sind die horizontalen und die vertikalen Komponenten der Kraft welche das Gelenk ausübt? abcliste
Solution:
abcliste abc Die Winkelgeschwindigkeit der Präzession ist: Omega fracML fracMJomega fracfracl FGfrac mr^ omega fracfracl FGfrac mr^ pi f .radianpersecond Das entspricht f_p.Hz. abc Die Geschindigkeit des Massenmittelpunktes ist: v fracl omega .meterpersecond abc - abc - abcliste
Contained in these collections:
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Kreisel by uz
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Erstaunliche Physik by uz