Pseudo force

Question

A body of mass ‘m’ is released from rest on an inclined plane in an elevator (moving up with acceleration ${\mathrm{a}}_{0}$). Find the time taken by the body to reach the bottom of the inclined plane.

Easy

Solution

if the elevator is going up with an acceleration ao pseudo force acts downward $m{a}_{0}$ effective downward acceleration along the inclined surface is (${\mathrm{a}}_{0}$+g) sinα

$\mathrm{t}=\sqrt{\frac{2\mathrm{L}}{(\mathrm{g}+{\mathrm{a}}_{\mathrm{o}})\mathrm{sin\alpha}}}$

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