A flexure with conductors is provided with a flexure tail portion. The flexure tail portion includes a metal base, an electrically insulating layer, and a conductive member. The metal base is formed with a plurality of apertures. A damper is attached to the flexure tail portion. The damper includes a viscoelastic member and a metallic constrained plate. The viscoelastic member has first and second surfaces. The first surface of the viscoelastic member is secured to the flexure tail portion. The constrained plate is secured to the second surface of the viscoelastic member. The constrained plate extends longitudinally relative to the metal base along the conductive member. The conductive member and the constrained plate face each other with the viscoelastic member therebetween.