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 o with the horizontal, a point object of mass m is kept. The maximum coefficient of friction between the mass and the inclined surface such that the mass does not move is

Options

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

Explanation

To solve the problem, we need to analyze the forces acting on the mass on the inclined plane inside the rocket. The rocket is accelerating upwards with an acceleration of \(2g\), where \(g\) is the acceleration due to gravity.

### Step-by-Step Solution:

1. **Identify the Forces Acting on the Mass:**
- The mass \(m\) experiences gravitational force downward, which is \(mg\).
- Due to the rocket's upward acceleration of \(2g\), the effective gravitational force acting on the mass becomes \(3g\) (since \(g + 2g = 3g\)).
- The normal force \(N\) acts perpendicular to the inclined plane.
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