Once a cooperative plan has been accepted by the department and a cooperative board has been established, a local board shall adopt a resolution requesting that the local library become a participating library in the cooperative library. Duplicate copies of the resolution, certified by the clerk of the local board, shall be filed with the cooperative board. The cooperative board shall accept or show reason for denial of the request for membership within 60 days after filing. When the cooperative board has accepted the resolution, the resolution and the acceptance shall be indorsed and a copy filed with the department. The participating library has the same rights, duties, and privileges as other libraries participating in that cooperative library.