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A force F is applied on the top of a cub...

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

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Let m be the mass of cube and .a. the side of cube. The cube will slide if: `Fgtmumg" ".......(1)`
and it will topple if torque of F about P is greater than torque of mg about Pi.e.
`F.agt((a)/(2))mg, or Fgt(1)/(2)mg" "......(2)`
From equations (1) and (2) we see that cube will topple before sliding if `mugt(1)/(2)`
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