(A) Any tree or shrub which overhangs any sidewalk, street, or other public place in the city in such a way as to impede or interfere with traffic or travel on that public place shall be trimmed by the owner of the premises on which the trees or shrubs grow so that the obstruction shall cease.
(B) Any limb of a tree which has become likely to fall on or across any public way or place shall be removed by the owner of the premises on which the trees or shrub grows or stands.