An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the insect and the surface is $1/3$. If the line joining the centre of the hemispherical surface to the insect makes an angle $\alpha $with the vertical, the maximum possible value of $\alpha $ is given by
An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the insect and the surface is $1/3$. If the line joining the centre of the hemispherical surface to the insect makes an angle $\alpha $with the vertical, the maximum possible value of $\alpha $ is given by
$\cot \alpha = 3$
$\tan \alpha = 3$
$\sec \alpha = 3$
${\rm{cosec}}\,\alpha = {\rm{3}}$
An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the insect and the surface is $1/3$. If the line joining the centre of the hemispherical surface to the insect makes an angle $\alpha $with the vertical, the maximum possible value of $\alpha $ is given by
As is clear from $F=m g \sin \alpha$
$R=m g \cos \alpha$
$\frac{F}{R}=\tan \alpha$
$\mu=\tan \alpha=\frac{1}{3}$
$\cot \alpha=3$
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