find the acceleration and tension in cord for the arrangement shown. http://www.webassign.net/serpop/p4-38.gif (first apply F=ma to the entire sytem along the line of motion) help please. m1 = 2kg m2 = 4kg

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find the acceleration and tension in cord for the arrangement shown. http://www.webassign.net/serpop/p4-38.gif (first apply F=ma to the entire sytem along the line of motion) help please. m1 = 2kg m2 = 4kg

Physics
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here is a drawing of the forces acting on each of the objects: |dw:1435849915607:dw|
so the subsequent vector equations hold: \[\Large \left\{ \begin{gathered} {M_1}{\mathbf{a}} = \frac{{\mathbf{T}}}{2} \hfill \\ \hfill \\ {M_2}{\mathbf{a}} = {\mathbf{T}} + {M_2}{\mathbf{g}} \hfill \\ \end{gathered} \right.\]
now using the reference system in my drawing, I get this scalar equations: \[\Large \left\{ \begin{gathered} {M_1}a = \frac{T}{2} \hfill \\ \hfill \\ - {M_2}a = T - {M_2}g \hfill \\ \end{gathered} \right.\] please solve that algebraic system for T and a

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T is the magnitude of the tension of the string, g is the earth gravity
okay thanks :)
:)
|dw:1435865469375:dw|

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