No more than two persons holding any other paid public office shall be members of the same housing authority at the same time. No elected official shall be a member of a housing authority in a city of the first class. The members who are first appointed shall serve for terms of one, two, three, four, and five years, respectively, from the date of their appointment, as shall be specified at the time of their appointment, except that all members of the housing authority of a city of the first class shall serve for terms concurrent with the term of the appointing mayor. Thereafter the term of office shall be five years, except as otherwise provided with respect to members of the housing authority of a city of the first class. The two additional members to be appointed in cities of the second class shall serve for terms of five years. A member shall hold office until his successor has been appointed. Vacancies for unexpired terms shall be promptly filled by the appointing power. A member may be removed for cause by the court of quarter sessions of the county in which the Authority is located after having been provided with a copy of the charges against him for at least ten days and full hearing by the court, except effective January 4, 2016, in a city of the first class, the mayor of such city may, without cause, remove up to five members of an Authority of such city during any calendar year, with resulting vacancies to be filled pursuant to section 5(c);¹ removal of any member in excess of five in a single calendar year shall be as otherwise provided in this section. A member shall receive no compensation for his services, but he shall be entitled to the necessary expenses, including travelling expenses incurred in the discharge of his duties.