An insect crawls up a hemispherical surface very slowly (see figure) The co-efficient of…
Physics · JEE Advanced · NTA Exams — Laws of Motion
An insect crawls up a hemispherical surface very slowly (see figure) The co-efficient of friction between the insect and the surface is 1/3. If the line joining the center of the hemispherical surface to the insect makes an angle a with the vertical, the maximum possible value of a is given by

- cot
a = 3 - tan
a = 3 - sec
a = 3 - cosec
a = 3
Answer
(A) cot a = 3
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