  In close binaries mass and angular momentum can be transferred from one star
to the other during Roche-lobe overflow. The efficiency of this process is not
well understood and constitutes one of the largest uncertainties in binary
evolution.
  One of the problems lies in the transfer of angular momentum, which will spin
up the accreting star. In very tight systems tidal friction can prevent
reaching critical rotation, by locking the spin period to the orbital period.
Accreting stars in systems with orbital periods larger than a few days reach
critical rotation after accreting only a fraction of their mass, unless there
is an effective mechanism to get rid of angular momentum. In low mass stars
magnetic field might help. In more massive stars angular momentum loss will be
accompanied by strong mass loss. This would imply that most interacting
binaries with initial orbital periods larger than a few days evolve very
non-conservatively.
  In this contribution we wish to draw attention to the unsolved problems
related to mass and angular momentum transfer in binary systems. We do this by
presenting the first results of an implementation of spin up by accretion into
the TWIN version of the Eggleton stellar evolution code.
