Mechanics Marathon 1- Slipping Cone

Classical Mechanics Level 2

A right cone is placed with its base on a rough inclined plane. If 1 3 \frac{1}{\sqrt{3}} is the coefficient of friction of the surface , Then find the vertical angle of the cone if it is on the point of slipping and turning over.

2 t a n − 1 ( 1 4 3 ) 2tan^{-1}(\frac{1}{4 \sqrt{3}}) ) 2 t a n − 1 ( 1 8 3 ) 2 tan^{-1}(\frac{1}{8\sqrt{3}}) t a n − 1 ( 1 4 3 ) tan^{-1}(\frac{1}{4 \sqrt{3}}) 4 t a n − 1 ( 3 2 3 ) 4 tan^{-1}(\frac{3}{2 \sqrt{3}})

Vishal Kumar by Vishal Kumar , 18, India

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