A uniform solid sphere of mass 2 kg and radius 0.1 m is released from rest at the top of a rough incline of angle $30°$. The coefficient of kinetic friction between the sphere and the incline is $0.1$. Take $g=10\ \text{m/s}^2$. Find the linear acceleration of the centre of the sphere as it moves down the incline.

Fig. 1: A solid sphere of mass 2 kg and radius 0.1 m on a rough 30 degree incline, released from rest near the top.