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A box of mass $M$ is attached to another smaller box of mass $m$ by a lightweight cord and hung over opposite sides of a lightweight pulley. The whole system is released from rest and accelerates at a rate of $a$.

Which of the following is a correct expression for the mass $m$ of the smaller box?


$\dfrac { M\left( a-g \right) }{ a+g } $


$\dfrac { M\left( a+g \right) }{ a+g }$


$\dfrac { M\left( a+g \right) }{ g-a } $


$\dfrac { M\left( g-a \right) }{ a+g } $

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