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A horizontal force F is applied at the t...

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

A

`2/(sqrt(3))`

B

`1/3`

C

`1/(sqrt(3))`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
C
About `C`,for toppling `tau_(F)gttau_(mg)`

`F acos30^@gtmga/2impliesFgt(mg)/(sqrt(3))`
If no translation then `f_(x)=Fgt(mg)/(sqrt(3))`
but `f_(s)lemumg`
`implies (mg)/(sqrt(3))lemu mgimpliesmuge1/(sqrt(3))`
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