Question 180 of 210

A rocket is fired vertically from the earth with an acceleration of 2g, 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:

A$\tan ⁡2\theta$B$\tan ⁡\theta$C$3\tan ⁡\theta$D$2\tan ⁡\theta$

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Answer: (B) $\tan ⁡\theta$

$3mg\sin ⁡\theta =\mu 3mg\cos ⁡\theta$

$\mu =\tan ⁡\theta$