In the arrangement shown in figure, a block A of mass m has been placed on a smooth wedge B of

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In the arrangement shown in figure, a block A of mass m has been placed on a smooth wedge B of mass M. The wedge lies on a horizontal smooth surface. Another block C of mass `(M)/(4)` has been placed in contact with the wedge B as shown. The coefficient of friction between the block C and the vertical wedge wall is `mu= (3)/(4)`. Find the ratio `(m)/(M)` for which the block C will not slide with respect to the wedge after the system is released?
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