1. The problem statement, all variables and given/known data A bicycle of mass m is travelling at constant speed v around a curve of radius r without slipping. You can take the acceleration due to gravity as g. Calculate the angle of tilt, θ, that will enable it to balance. 2. Relevant equations R=mg Rsintheeta (Length)=Fcostheeta (Length); R is the normal force, F is the centripetal force and Length is the distance from the ground to the center pf mass F=mv^2/r 3. The attempt at a solution I solved this question by taking moments about the center of mass and using the above equations, and a bit of substitution. However, I have two queries: i) Friction provides centripetal force and acts towards center (Sliding Friction. Right?). But friction should also act opposite to the direction of motion (tangent along the entire path). Why don't we account for it in the such problems. It is called rolling friction, I guess. Correct me if I am wrong. ii) Secondly, if I take moments about the point of contact, instead of at the center of mass, the equation doesn't seem to balance as there's moment due to weight on one side of the equation and all the other moments turn out to be zero since their line of action passes through the pivot.