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 tocket, 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 suface such that the mass does not move is:

Options

A. `tan2theta`
B. `tantheta`
C. `tantheta`
D. `2 tantheta`

Answer

B

Explanation

At equyilibrium mass does not move so,
`3 mg sin theta= mu 3 cos theta [ g_("effective")=g+2g]`
`:. mu_("min")=tan theta`