A rocket is 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 `m_(min)` between the mass and the inclined surface such that the mass does not move is

Options

A. tan2`theta`
B. tan`theta`
C. 3tan`theta`
D. 2tan`theta`

Answer

B

Explanation

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

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