# Rotational analysis!

Classical Mechanics Level pending

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 $$rad/(s^2)$$.

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