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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?

A

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

B

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

C

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

D

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

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