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 an ideal pulley as shown. The coefficient of friction between the surface of the plane and the blocks is $$0.25$$. The value of $$m$$, for which $$M = 10$$ kg will move down with an acceleration of $$2 \text{ m s}^{-2}$$, is: (take $$g = 10 \text{ m s}^{-2}$$ and $$\tan 37° = \frac{3}{4}$$)