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Pulley System

  1. Oct 7, 2007 #1
    1. The problem statement, all variables and given/known data
    Pulley System:
    Code (Text):
    B-------O   ////
    //////  |   |
        |   |
        |   |
    O = Pulley
    B = Block

    Find the acceleration of each block in terms of m1,m2 and g.

    2. Relevant equations
    F = ma

    3. The attempt at a solution
    I drew free body diagrams for each block and ended up with:

    Block 1: T1 = m1a1

    Block 2: m2g - T2 =m2a2
    T2 = 2T1

    However, this is not enough to cancel out all a2's / a1's. What piece am I missing here?
  2. jcsd
  3. Oct 7, 2007 #2

    Doc Al

    User Avatar

    Staff: Mentor

    What's the relationship between a_1 and a_2? If m1 has an acceleration of +a to the right, what must the acceleration of m2 be?
  4. Oct 7, 2007 #3
    not much is clear from that picture.. mind clarifying it a lil bit??
  5. Oct 7, 2007 #4
    The same?

    I'm sorry, sure.

  6. Oct 7, 2007 #5

    Doc Al

    User Avatar

    Staff: Mentor

    No. If m_1 moves a distance L to the right, how far down does m_2 move? (You might find it helpful to play around with a piece of string. I'm not kidding.) You need to determine the magnitude and direction of the acceleration of m_2 in terms of the acceleration of m_1.
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