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We present near-IR spectroscopy of a sample of luminous (Lbol >10^14 Lsun),sub-millimeter-detected, dusty (M_dust~10^9 Msun), radio-quiet QSOs at z~2. Wemeasure the redshift, width, and luminosity of the Halpha line, and thecontinuum luminosity near Ha.  The Halpha emission line was strongly detected in all sources. Two components-- a very broad (>~5000 km/s) Gaussian and an intermediate-width (>~1500 km/s)Gaussian, were required to fit the Halpha profile of all observed QSOs. Narrow(<~1000 km/s) lines were not detected in the sample QSOs.  Relative to the Halpha-derived QSO redshift, the rest-frame UV emission linesin these sub-mm bright QSOs show larger than average blue-shifted velocities,potentially tracing strong -- up to 3000 km/s -- outflows in the Broad LineRegion.  With the exception of the one QSO which shows exceptionally broad Halphalines, the black hole masses of the QSO sample are in the range log Mbh =9.0--9.7 and the Eddington fractions are between 0.5 and ~1. In black hole massand accretion rate, this sub-mm bright QSO sample is indistinguishable from theShemmer et al. (2004) optically-bright QSO sample at z~2; the latter is likelydominated by sub-mm dim QSOs. Previous authors have demonstrated a correlation,over six orders of magnitude, between SFR and accretion rate in activegalaxies: the sub-mm bright QSOs lie at the upper extremes of both quantitiesand their SFR is an order of magnitude higher than that predicted from thecorrelation

Sub-millimeter Detected z~2 Radio-quiet QSOs: Accurate Redshifts, Black Hole Masses, and Inflow/Outflow Velocities