Ideal banking angle car rounds a banked turn without friction, frictionless banked curve

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In this uniform circular motion problem, the ideal banking angle is computed as car rounds a banked turn without friction. At the ideal angle, a component of the normal force supplies the entire centripetal force, and the car can turn without using friction. Speed and radius of curvature are given, and we compute the ideal banking angle to round the banked turn without using friction as part of the centripetal force.

[@faredoondastur8114]

Thanks for the great explanation - I now get why we don't decompose mg!

[@ZaksLab]

you're welcome! this reminds me I need to redo banked turns with better graphics and editing! z