Rotational analysis!

A solid sphere of mass $2 Kg$ and Radius $2$ metre is rotating clockwise as well as translating on a rough horizontal surface of friction coefficient , $\mu = 0.9$ .

A force at a height $\large\ \frac{4}{3}$ from centre of sphere is applied of magnitude $84$ N. $a$ is the linear acceleration of centre of mass of sphere, its value is $3$ m/ $s^2$ .

Friction is enough to prevent slipping.

Find sphere's angular acceleration in $rad/(s^2)$ .