(a) In addition to any penalties prescribed and notwithstanding any provisions to the contrary in the Arkansas Library Materials Security Law, § 13-2-801 et seq., the city council or governing body of a city shall have the power to pass ordinances imposing suitable penalties for the punishment of persons committing injury upon library grounds or property or injuring or failing to return any book, periodical, or property belonging to the library.
(b) The board of trustees of the library may refuse the use of the library to such offenders.