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 objet of mass m is kept. The minimum coefficient of friction `m_("min")` between the mass and the inclined surface such that the mass does not move is

Options

A. `tan 2theta`
B. `tan theta`
C. `3 tan theta`
D. `2tan theta`

Answer

B

Explanation

Since the rocket is moving upwards with acceleration 2g, the apparent acceleration experienced by the point object is 3g vertically downwards
From the figure, `N= 3mg cos theta`

Point object does not move on inclined surface `mu N= 3mg sin theta`
`mu 3 mg co stheta= 3mg sin theta or mu = tan theta`
`mu` is independent of acceleration of the rocket.