It is now well established that for many, if not most, pairs of materials in contact friction is proportional to a power, smaller than unity, of the normal reaction. The relations between tension, normal reaction, curvature and certain angles are found for a string wrapped slantwise round a cylinder of general cross-section for friction obeying this law: (i) when friction acts tangentially to the string path, and (ii) when it acts parallel to the cylinder axis.