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A force F is applied on the top of a cube as shown in figure. The coefficient of friction between the cube and the ground is μ. If F is gradually increased, the cube will topple before sliding if

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a
μ>1
b
μ<1
c
μ<12
d
μ>12

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detailed solution

Correct option is D

Cube will slide, if F>μmg  ....1Cube will topple about O,  ifτF>τmgFa>mga2F>12mg  ........2if μ≥12, eq2 will be satisfied earlierif μ<12, eq 1 will be satisfied


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