A skier rolling down a frictionless hill where she should fly off tangentially and lose contact with ground.
In answer of this question, solution states that $mg\cos x = mv^2 / R$ at that point (to make normal reaction zero).
But I think $mg\cos x$ and centripetal force both act inwards towards the circle. So normal reaction is sum of those two forces and not zero.
Where am I missing something important?