  We analyze a mathematical model that describes the interaction between an
insulating rigid body and an incompressible electrically conducting fluid
surrounding it. The model as well as the mathematical analysis involve the
fields of fluid-structure interaction and of magnetohydrodynamics. Our main
result shows the existence of a weak solution to the corresponding system of
partial differential equations. The proof relies on a use of a time
discretization via the Rothe method to decouple the system. This allows us to
deal with test functions, depending on the position of the moving body and
therefore on the solution of the system, in the weak formulation of the
induction equation. The proof moreover makes use of the Brinkman penalization
in order to cope with the mechanical part of the problem.
