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Spock2230

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For a marble in uniform circular motion within a smooth cone, what is the relationship between the normal force by the surface of the cone and the weight of the marble?

My take is that the normal force forms a reaction pair with one of the resolved forces of weight. I have resolved the forces in this way:

However, the solutions establishes weight and the centripetal force as components of the normal contact force, which doesn't make sense to me. Here's how they resolved it.

The weight of the marble, mg, is given as N cos 60 by the solution, where N is the normal contact force. The centripetal force is then given as N sin 60. This doesn't make sense to me because the normal force would be greater than the weight of the marble, when the normal force is just a reaction force to one of the components of its weight.

Anyone willing to help? Thanks in advance!