In the given arrangement of a doubly inclined plane two blocks of masses M and m are placed. The blocks are connected by a light string passing over…

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