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Thread: Two Block and Five Pulley System

  1. #1 Two Block and Five Pulley System 
    Junior Member
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    Apr 2014
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    In this problem, one needs to calculate the acceleration of each block, m1 and m2, separately. I think my constraint equation is correct, but then when I get to the part of analyzing each block separately with a FBD, I'm not sure what the force from the pulleys should be. For example, Block 1 has an 8N force to the left, but I'm not sure what the force to the right should be; it's obviously not 10N. I have not been able to find any kind of similar problem to this.
    The surface is frictionless, the pulleys have no mass, the chords are inextensible, etc.

    I have attached below a picture of the setup and some of the progress I have made. Thank you for any help.

    IMG_20140413_010723.jpg
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  2. #2  
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    You may want to consider introducing another variable, T, the tension in the string.
    pikpobedy and wowphysics like this.
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  3. #3  
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    Quote Originally Posted by Jilan View Post
    You may want to consider introducing another variable, T, the tension in the string.
    So I created an FBD for each block using the variable, T. I came up with a couple answers for a1 and a2 involving m1 and m2. I found the mass center and took the derivative twice to get the mass center acceleration in terms of a1 and a2, and plugged in my previous values of a1 and a2 that I solved for! At the end you get some ugly expression that I did not simplify.

    Sorry the picture is maybe too big, so here is a google drive link.
    https://drive.google.com/file/d/0B04...it?usp=sharing
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