A rocket accelerates vertically upward at 2g. Inside it, a mass m rests on an incline at angle θ with the horizontal. The minimum coefficient of friction required so that the mass does not move relative to the incline is:
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Question

A rocket accelerates vertically upward at 2g. Inside it, a mass m rests on an incline at angle θ with the horizontal. The minimum coefficient of friction required so that the mass does not move relative to the incline is:

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G1 Physics · Accepted Answer

In the rocket frame the effective downward acceleration is effective g = g+2g = 3g. Both the tangential component and normal reaction scale by the same factor 3, so their ratio is unchanged: μₘᵢₙ = tanθ.