JEE Mains 2020 Model Paper 4 New Pattern

A disc of mass m and radius R has a spring of constant k attached to its centre, the other end of the spring being fixed to a vertical wall (shown in figure). If the disc rolls without slipping on a level floor, how far to the right does the centre of mass move, if initially the spring was unstretched and the angular speed of the disc was ω0 ?