A rocket is fired vertically frorn the earth with an acceleration of $2\,g,$ where $g$ is the gravitational acceleration. On an inclined plane inside the rocket, making an angle $\theta $ with the horizontal, a point object of mass $m$ is kept. The minimum coefficient of friction $\mu _{min}$ between the mass and the inclined surface such that the mass does not move is
JEE MAIN 2016, Medium
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Let $\mu$ be the mimimum cof ficient of friction
At equilibrium, mass does not move so,
$3 m g \sin \theta=\mu 3 m g \cos \theta$
$\therefore \mu_{\min }=\tan \theta$
At equilibrium, mass does not move so,
$3 m g \sin \theta=\mu 3 m g \cos \theta$
$\therefore \mu_{\min }=\tan \theta$
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