Physics Question from JEE Main 2024 · 31 January, Shift 1

In the given arrangement of a doubly inclined plane, two blocks of masses $M$ and $m$ are placed, $M$ on the face inclined at $53^\circ$ and $m$ on the face inclined at $37^\circ$. The blocks are connected by a light string passing over an ideal pulley at the apex. The coefficient of friction between the surface of the plane and the blocks is $0.25$. The value of $m$, for which $M = 10\ \text{kg}$ will move down with an acceleration of $2\ \text{m/s}^2$, is: (take $g = 10\ \text{m/s}^2$ and $\tan 37^\circ = 3/4$)