1. The problem statement, all variables and given/known data A solid sphere of radius R is given a translation velocity vo on a rough surface of coefficient of kinetic friction=coefficient of static friction=μ. After what time does the sphere begin pure rolling? Also find the the angular velocity and linear velocity of the sphere at this time. This was was found out and calculated by me. My question/doubt was something other which is not in the question. If once the sphere begins pure rolling does its angular velocity and linear velocity become constant? Or will it stop due to rolling friction? It is the same as saying that will the linear acceleration and angular acceleration of the sphere be the same once it has begun pure rolling? I think it should not have constant velocity and angular acceleration because even if it is pure rolling static friction is acting. Does that slow or speed up the sphere? Also, can a sphere which is executing pure rolling motion ever slow down? If yes then how?