A rider holds her bicycle at the angle shown by exerting a for...

A rider holds her bicycle at the angle shown by exerting a force perpendicular to the plane of the bicycle frame. If friction at A and B is sufficient to prevent lateral slippage, determine the force exerted by the rider on the seat, the upward normal forces at A and B, and the lateral friction forces at A and B. Even though the bicycle is free to roll, assume that it does not. The bicycle weighs 29 lb with center of gravity at G.