1. Tardigrade
  2. Question
  3. Physics
  4. An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the surface and the insect is 1/3. If the line joining the centre of the hemispherical surface to the insect makes an angle a with the vertical, the maximum possible value of α is given

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Q. An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the surface and the insect is $1/3$. If the line joining the centre of the hemispherical surface to the insect makes an angle a with the vertical, the maximum possible value of $\alpha$ is givenPhysics Question Image

IIT JEEIIT JEE 2001Laws of Motion

Solution:

Equilibrium of insect gives
$ N = mg\cos \alpha ...(i)$
$ \mu N = mg\sin \alpha ...(i)$
From Eqs. (i) and (ii), we get
$\cot \alpha=\frac{1}{\mu}=3$

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