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In the figure, a solid uniform cube is p...

In the figure, a solid uniform cube is placed on a horizontal surface. The co-efficient of friction between them is `mu` where `mu lt 1/2`. A variable horizontal force perpendicular to one edge and passing through the midnight of that applied on the cube's upper face. The maximum acceleration with which it can move without toppling is

A

`mug`

B

`(g(1-2mu))/2`

C

`g(1-2mu)`

D

`(mu+1/2)g`

Text Solution

Verified by Experts

The correct Answer is:
C

`F-mu mg =ma`
`mg xxl/2+ma l/2 =Fl`
`mgl/2 +Fl/2 - mu mg =Fl`
`F=(1-mu) mg rArr a=(1-2mu ) g `
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