very quick reaction force q (1 Viewer)

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cambridge q4a excercise 7.5(Theres a particle performing circular motion on the inside surface of a cone):

The worked solution has the reaction force pointed outwards from the cone and the answer in bob reflects this. I thought the reaction force opposes the force the particle applies to the cone and thus should be pointed inwards. Am i right or wrong? please explain (sorry if its a stupid q)

thanks in advance

 

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Woops, the particle is moving along the outer surface of the cone... im so blind