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Kinematik Aufgabe, brauche Hilfe!

Alles zum Thema Statik, Kinematik & Dynamik.

Kinematik Aufgabe, brauche Hilfe!

Beitragvon markus2810 am Mi 22. Jan 2014, 14:16

Hallo,
ich habe die Ehre demnächst meine Klausur in Dynamik zu schreiben und kämpfe mich da gerade durch die Aufgaben,
woran ich teilweise echt verzweifel...
Ich hab hier jetzt ne Aufgabe:

Bild
(Kasten = Lösungen)

Ich habe das ganze jetzt freigeschnitten und hab meine drei Teile, I m1 II m2 III die Rolle
Mein Koordinantensystem liegt jetzt so, das die x-Achse in Richtung des Seils von m1 zur Rolle liegt.
Daraufhin hab ich nun meine Gleichungen mit der Summe der Kräfte in x-Richtung aufgestellt und diese nach den Seilkräften bzw. dem Trägheitsmoment aufgelöst:

Bild
(hoffe man erkennts)

I Fs1 = Ft1 + Fr + Fg *sin(a) = m*a1 + µ* m* g*cos(a) + m*g*sin(a)
II Fs2 = m*g + m*a2
III Mt = Fs2*r - Fs1*r

a1 und a2 sollten ja eigl gleich sein, zudem hab ich aus nem halben Lösungsansatz entnommen das a=30° sein muss, da dieser dort nicht irgendwie hergeleitet wurde bin ich davon ausgegangen, dass dieser versehentlich in den Angaben fehlt, zumal ich ohne den Winkel irgendwie nicth weiterkam (sollten man diesen jedoch herleiten können macht mich darauf aufmerksam)

Da aus der Aufgabe bekannt ist, dass Mt = 0,5*m*r²*a ist und daraufs folgt das Mt=64,8 sein muss

Jetzt hab ich III eben nach Fs2 aufgelöst und das dann für Fs2 in II eingesetzt, dass dann wiederum nach Fs1 aufgelöst und für Fs1 in I eingesetzt. Allerdings fehlt mir jetzt ja noch µ und a1/2...
Ich weiß jetzt nicht genau ob mein Vorgehen richtig war und wie's jetzt weiter geht.
Hoffe mir kann daher jemand weiterhelfen!
markus2810
 
Beiträge: 1
Registriert: Mi 22. Jan 2014, 13:44

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