We present a method of fast deployment of wire booms from spinning bodies without residual oscillations. A two dimensional model of the boom-spacecraft system is developed, and analysed both theoretically and by means of numerical simulation. It is shown that for constant deployment rate, the equilibrium state during the deployment is a constant deflection angle of the boom with respect to radial direction. Oscillations about the equilibrium state are damped, so after sufficiently long deployment the boom assumes the equilibrium deflection angle. This allows to bring the boom to the radial position by introducing a period of deployment at half the rate, with its duration equal to half of the oscillation period.