Two block of masses `M_(1) and M_(2)` are connected with a string passing over a pulley as shown in figure The block `M_(1)` lies on a horizontal surface friction between the block `M_(1)` and the horizontal surface is `mu` The system accelerates. What additional mass `m` should be plased on the block `M_(1)` so that the system does not accelerate ? A. `(M_(2)-M_(1))/(mu)`B. `M_(2)/(mu)-M_(1)`C. `M_(2)-M_(1)/(mu)`D. `(M_(2)-M_(1))mu`

Two block of masses `M_(1) and M_(2)` are connected with a string pass

1.	Two block of masses `M_(1) and M_(2)` are connected with a string passing over a pulley as shown in figure The block `M_(1)` lies on a horizontal surface friction between the block `M_(1)` and the horizontal surface is `mu` The system accelerates. What additional mass `m` should be plased on the block `M_(1)` so that the system does not accelerate ? A. `(M_(2)-M_(1))/(mu)`B. `M_(2)/(mu)-M_(1)`C. `M_(2)-M_(1)/(mu)`D. `(M_(2)-M_(1))mu`
Answer» Correct Answer - B For the equilibrium of block of mass `M_(1)` : Frictional force, `f` =tension in the string, `T` where `T=fmu(m+M_(1))g=m_(3)g` `T=M_(2)g` From (i) and (ii) `mu(m+M_(1))g=M_(3)g` `m=(M_(2))/(mu)-M_(1)` .

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