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Force Systems Multiple Choice Thread

  1. Mar 19, 2016 #1
    1. The problem statement, all variables and given/known data

    http://gpschools.schoolwires.net/cms/lib05/MI01000971/Centricity/Domain/272/Chapter 5 MC 13.pdf
    It is problem 22 on page 7 of the document:

    A block of mass M1 on a horizontal table is connected to a hanging block of mass M2 by a string that passes over a pulley, as shown. The acceleration of the blocks is 0.6g. Assume that the friction and the mass of the string are negligible.
    upload_2016-3-19_18-31-27.png

    22. The ratio of masses M2 / M1 is
    (A)0.67
    (B) 1.0
    (C) 1.4
    (D)1.5
    (E) 1.6

    [Note: Post edited by moderator to include the problem statement content in-post]
    2. Relevant equations

    F=ma
    3. The attempt at a solution

    OK. I know that this is a force system, and I would draw the free body diagrams for each and write out the equations for each block and solve. So I was able to get the tension T in the string to be 0.4 M2 * g. I was also able to get a=0.6 g. My numbers so far are correct.

    However, I am at a loss for finding the ratio of masses M2/M1. Could anyone help me, please? Thanks?
     
    Last edited by a moderator: Mar 19, 2016
  2. jcsd
  3. Mar 19, 2016 #2

    PhanthomJay

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    Since you have found the tension as a function of M2, substitute that value for T in your equation that you determined from your free body analysis of M1.
     
  4. Mar 25, 2016 #3
    Thanks for that hint! I solved it!
     
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