(a)   The Mayor shall, when provided for by Council, and subject to its confirmation, appoint all deputy marshals, policemen, night watchmen and special policemen.  All such officers shall continue in office until removed therefrom for the cause and in the manner provided by Section 135.07 .
   (b)   No person shall receive an appointment under this section unless he or she has, not more than sixty days prior to receiving appointment, passed a physical examination given by a licensed physician, showing that he or she meets the physical requirements necessary to perform the duties of the position to which he or she is to be appointed as established by Council.  The appointing authority shall, prior to making any such appointment, file with the Police and Firemen’s Disability and Pension Fund a copy of the report or findings of such licensed physician.  The professional fee for such physical examination shall be paid for by Council.
(ORC 737.16)