On October 2, 2004, at 1430 eastern daylight time, a Piper PA-34-200T, N5507V, was substantially damaged during the takeoff roll at Trenton-Robbinsville Airport (N87), Robbinsville, New Jersey. The certificated private pilot was not injured. Visual meteorological conditions prevailed, and no flight plan had been filed for the local personal flight, conducted under 14 CFR Part 91. In a written statement the pilot stated that during the takeoff roll, and at an indicated airspeed of about 70 to 75 knots, she felt the nose of the airplane dip and then rise off the ground. She pushed the control yoke forward to level the airplane, it contacted the runway, and then skidded to a stop. Examination of the wreckage by a Federal Aviation Administration (FAA) inspector revealed that the airplane's left main landing gear was sheared off at the strut, and the right main and nose landing gear were collapsed. The left main landing gear axle nut was separated from the axle and was found on the runway with the cotter key still attached. Further examination revealed that the stabilator trim rod forward attachment hardware was not installed. The bolt and associated nut were not recovered. The stabilator trim rod aft attachment bolt was in place, but the nut was not installed, nor was it recovered. Examination of photographs taken by the FAA inspector of the trim rod attachment point revealed that the trim rod attachment point was visible on the underside of the stabilator trim tab, and was not obscured by any cowlings or coverings. According to the New Piper Aircraft Customer Care Team, with the stabilator trim set at a neutral position and the forward stabilator trim rod attachment bolt not installed, the stabilator would not perform as expected by the pilot. As airspeed increased, the lift force and hinge moment produced by the trim tab would result in a "lightening" of the stabilator control. "Normal" pilot effort would result in an unexpected over-rotation. Examination of the airplane's maintenance log revealed that the airplane had undergone an annual inspection about 60 flight hours and 11 months prior to the accident. A review of the repair station's work order describing the services performed to the airplane revealed that the stabilator trim tab had been removed, repaired, and reinstalled.