question_answer

If \[{{\mu }_{s}}\] is coefficient of static friction, the maximum speed \[{{v}_{\max }}\]with which a vehicle can negotiate an unbanked curved track having radius R and inclined at an angle \[\theta \] with respect to horizontal plane is

A)  \[{{v}_{\max }}=\sqrt{Rg\,\,\tan \theta }\]

B)  \[{{v}_{\max }}=\sqrt{{{\mu }_{s}}\,\,Rg}\]

C)  \[\sqrt{Rg}\]

D)  \[\sqrt{\tan \theta /Rg}\]