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19 Vektorrechnung im 3-dimensionalen

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Beispiel 19 - 192
Gegeben: eine Scheibe mit Drehachse z und   r → =( 0 1 0 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabaGaaiaacaqaaeaadaqaaqaaaOqaaabaaaaaaaaape Waa8HaaeaaieGacaWFYbaacaGLxdcacaWF9aWaaeWaa8aabaqbaeqa bmqaaaqaaiaaicdaaeaacaaIXaaabaWdbiaaicdaaaaacaGLOaGaay zkaaaaaa@3D5D@   , 

   F → =( −1 0 0 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabaGaaiaacaqaaeaadaqaaqaaaOqaaabaaaaaaaaape Waa8HaaeaaieGacaWFYbaacaGLxdcacaWF9aWaaeWaa8aabaqbaeqa bmqaaaqaaiaaicdaaeaacaaIXaaabaWdbiaaicdaaaaacaGLOaGaay zkaaGaa8hlaiaaywW7ceWFgbWdayaalaWdbiabg2da9maabmaapaqa auaabeqadeaaaeaapeGaeyOeI0IaaGymaaWdaeaapeGaaGimaaWdae aapeGaaGimaaaaaiaawIcacaGLPaaaaaa@46A7@ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabaGaaiaacaqaaeaadaqaaqaaaOqaamaaFiaabaGaam OraaGaay51GaGaeyypa0ZaaeWaaeaafaqabeWabaaabaGaeyOeI0Ia aGymaaqaaiaaicdaaeaacaaIWaaaaaGaayjkaiaawMcaaiaaysW7aa a@3FAD@ . Wie groß ist das Drehmoment, und in welche Richtung zeigt es ?

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PIC .

Abbildung 1: Drehmoment

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M → = r → × F → =| x y z 0 1 0 −1 0 0 | =( 0 0 1 ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY=Hhbbf9v8qqaqFr0xc9pk0xbb a9q8WqFfeaY=biLkVcLq=JHqpepeea0=as0Fb9pgeaYRXxe9vr0=vr 0=vqpWqaaeaabaGaaiaacaqaaeaadaqaaqaaaOqaamaaFiaabaGaam ytaaGaay51GaGaeyypa0Zaa8HaaeaacaWGYbaacaGLxdcacqGHxdaT daWhcaqaaiaadAeaaiaawEniaiabg2da9maaemaabaqbaeqabmWaaa qaaiaadIhaaeaacaWG5baabaGaamOEaaqaaiaaicdaaeaacaaIXaaa baGaaGimaaqaaiabgkHiTiaaigdaaeaacaaIWaaabaGaaGimaaaaai aawEa7caGLiWoacaaMe8Uaeyypa0ZaaeWaaeaafaqabeWabaaabaGa aGimaaqaaiaaicdaaeaacaaIXaaaaaGaayjkaiaawMcaaaaa@5392@
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