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Homework Help: Angular acceleration of disk

  1. Dec 12, 2007 #1
    [SOLVED] Angular acceleration of disk

    For the system below, determine the tension in each rope, the linear acceleration of each mass and the angular acceleration of the disk. [tex]\ g=10 m/s^2[/tex]. Use [tex]\ I=4 kgm^2[/tex].

    So far I have drawn the free-body diagram for m1 and m2
    [tex]\ 120 - T_1 = 12a_1[/tex] and [tex]\ T_2 - 40 = 4a_2[/tex]
    and have figured [tex]\ T_1 - 2T_2 = 4\alpha[/tex]
    [tex]\ a_2 = 2\alpha[/tex]
    [tex]\ a_1 = \alpha[/tex]
    Last edited: Dec 18, 2007
  2. jcsd
  3. Dec 13, 2007 #2

    Doc Al

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    Staff: Mentor

    So far, so good!
    Excellent. Now use this to rewrite [itex]a_1[/itex] and [itex]a_2[/itex] in terms of [itex]\alpha[/itex] in your first two equations. Then you'll have three equations and three unknowns, which you can solve.
  4. Dec 13, 2007 #3
    Thanks. I've got it from there. Just didn't realize how easy it was once I had that.
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