# 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 µmin between the mass and the inclined surface such that the mass does not move is : Option 1) tanθ Option 2)  2 tanθ Option 3) 3 tanθ Option 4) tan2θ

As we learnt in

Kinetic or Dynamic Friction -

kinetic friction

coefficient of kinetic friction

R = reaction

- wherein

depends on the nature of surface in contact.

Since the rocket is moving vertically upwards with acceleration 2g therfore the apparent acceleration experienced by the point object is g + 2g = 3g

Vertically downwards

Where

Correct option is 1.

Option 1)

tanθ

This is the correct option.

Option 2)

2 tanθ

This is an incorrect option.

Option 3)

3 tanθ

This is an incorrect option.

Option 4)

tan2θ

This is an incorrect option.

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