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Q.

A solid cube is placed on a horizontal surface. The coefficient of friction between them is μ, where μ<12.A . A variable horizontal force is applied on the cube’s upper ace, perpendicular to one edge and passing through the mid-point of that edge. The maximum acceleration with which it can move without toppling is

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a

μg

b

2μg

c

g2(1−2μ)

d

μ+12

answer is C.

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Detailed Solution

To avoid t topplingτnet 0=0F×a−mg×a2=0F=mg2Now apply Newton's laws of motion.
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A solid cube is placed on a horizontal surface. The coefficient of friction between them is μ, where μ<12.A . A variable horizontal force is applied on the cube’s upper ace, perpendicular to one edge and passing through the mid-point of that edge. The maximum acceleration with which it can move without toppling is