A horizontal force `F` is applied at the top of an equilateral triangular block having mass `m`. The minimum coefficient of friction required to topple the block before translation will be

Options

A. `2/(sqrt(3))`
B. `1/2`
C. `1/(sqrt(3))`
D. none of these

Answer

C

Explanation

`I=(ma^(2))/6+(a/(sqrt(3)))^(2)impliesI=((ma^(2))/2)`
`impliesFxx(asqrt(3))/2=(mg)a/2impliesF=((mg)/(sqrt(3)))`
`F=F_("max")implies(mg)/(sqrt(3))mumgimpliesmu=1/(sqrt(3))`