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 $M = 10 ext{ kg}$ will move down with an acceleration of $2 ext{ m/s}^2$, is : (take $g = 10 ext{ m/s}^2$ and $ an 37^\circ = 3/4$) [Diagram: Two blocks M and m on a doubly inclined plane connected by a string over a pulley. Angles of inclination are $53^\circ$ and $37^\circ$ respectively.]

Question

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 $M = 10 	ext{ kg}$ will move down with an acceleration of $2 	ext{ m/s}^2$, is : (take $g = 10 	ext{ m/s}^2$ and $	an 37^\circ = 3/4$) [Diagram: Two blocks M and m on a doubly inclined plane connected by a string over a pulley. Angles of inclination are $53^\circ$ and $37^\circ$ respectively.]

Accepted Answer

$4.5 	ext{ kg}$

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