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A thin uniform equilateral plate rests i...

A thin uniform equilateral plate rests in a vertical plane with one of its vertex A on a rough horizontal floor and another vertex B on a smooth vertical wall. If the coefficient of friction `mu = 1/(sqrt3)`, then the least angle `theta` its base AB can make with the horizontal surface is

A

`theta = cot^(-1) [mu + 1/(sqrt3)]`

B

`theta = tan^(-1) [mu + 1/(sqrt3)]`

C

`theta = tan^(-1) [2mu + 1/(sqrt3)]`

D

`theta = cot^(-1) [2mu + 1/(sqrt3)]`

Text Solution

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The correct Answer is:
D
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