A bike is going on a concave upward bridge with a constant velocity v. find the direction of normal(N) and centripetal force when the body reaches middle of the bridge?
You know how to draw free body diagram by now.
So let's see at middle of bridge
So normal is pointing upwards. Now if a particle goes in a circle then it has a centripetal acceleration that always points towards the centre of the curvature, which is facing upward.