An atherectomy system that utilizes an anchoring balloon with a rotary debulker and a crossing balloon to remove or debulk lesions formed on the interior wall surface of a body vessel. The system may include a first balloon coupled to a first tubular member, a rotary debulker coupled to a second tubular member, a second balloon coupled to both the third tubular member and the axially moveable fourth tubular member such that the second balloon is disposed inside the third tubular member. Methods for operating this device are also provided.
