JEE Main 2016 · 9 Apr · Shift 1 · Physics Q3

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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 θ 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 :

\tan\theta

2\tan\theta

3\tan\theta

\tan2\theta

Answer and worked solution

Official answer: A

In the rocket the effective gravity is $3g$ , but both the normal force and the down-slope pull scale with it. The mass stays put if $\mu\ge\tan\theta$ .

Topics:Friction

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JEE Main 2016 · 9 Apr · Shift 1, Physics question 3