A hung mass accelerometer, comprising: a body having a stepped internal cavity that defines first and second parallel mounting surfaces (50, 52) perpendicular to an axis on opposite sides of the internal cavity but offset from the ends of the internal cavity; a proof mass having third and fourth parallel mounting surfaces (55, 59) towards opposite ends of the proof mass; a first flexure assembly having a fifth mounting surface that is attached to both the body's first parallel mounting surface and the proof mass' third parallel mounting surface at different transverse locations in approximately a first transverse plane perpendicular to the axis; a second flexure assembly having a sixth mounting surface that is attached to both the body's second parallel mounting surface and the proof mass' fourth parallel mounting surface at different transverse locations in approximately a second transverse plane perpendicular to the axis, said proof mass being attached between the first and second flexure assemblies to hang inside the internal cavity and constrained to move in an axial direction along the axis in an open-loop configuration; and first and second sensor heads (26, 28) positioned along the axis on opposite sides of the proof mass at distances d1 and d2 that increase and decrease in opposition as said proof mass moves along the axis, each said sensor head (26, 28) having a reference coil responsive to an alternating drive signal to produce an oscillating primary magnetic field that induces Eddy currents in the proof mass that create an opposing secondary magnetic field that resists the primary magnetic field generated by the reference coil, any change in the distance between the reference coil and the proof mass causing a change in the magnetic field interaction that produces differential alterations to the alternating drive signal for providing an output signal. a body having a stepped internal cavity that defines first and second parallel mounting surfaces (50, 52) perpendicular to an axis on opposite sides of the internal cavity but offset from the ends of the internal cavity; a proof mass having third and fourth parallel mounting surfaces (55, 59) towards opposite ends of the proof mass; a first flexure assembly having a fifth mounting surface that is attached to both the body's first parallel mounting surface and the proof mass' third parallel mounting surface at different transverse locations in approximately a first transverse plane perpendicular to the axis; a second flexure assembly having a sixth mounting surface that is attached to both the body's second parallel mounting surface and the proof mass' fourth parallel mounting surface at different transverse locations in approximately a second transverse plane perpendicular to the axis, said proof mass being attached between the first and second flexure assemblies to hang inside the internal cavity and constrained to move in an axial direction along the axis in an open-loop configuration; and first and second sensor heads (26, 28) positioned along the axis on opposite sides of the proof mass at distances d1 and d2 that increase and decrease in opposition as said proof mass moves along the axis, each said sensor head (26, 28) having a reference coil responsive to an alternating drive signal to produce an oscillating primary magnetic field that induces Eddy currents in the proof mass that create an opposing secondary magnetic field that resists the primary magnetic field generated by the reference coil, any change in the distance between the reference coil and the proof mass causing a change in the magnetic field interaction that produces differential alterations to the alternating drive signal for providing an output signal.