When the Council shall deem it advisable to vacate, discontinue or abolish any street, alley or public ground, or any part thereof, it shall by resolution so declare, and in the same resolution appoint a time, not less than four weeks thereafter, when it shall meet and hear objections thereto. Notice of such meeting, with a copy of such resolution, shall be published not less than once a week for four weeks prior to the time appointed for such meeting in one of the newspapers published or having general circulation in the City of Negaunee. Objections to such proposed action of the Council may be filed with the City Clerk in writing, and if any such objections shall be filed, the street, alley or public ground, or any part thereof, shall not be vacated or discontinued except by a concurring affirmative vote of five members of the Council.