Rotational Motion

A boy is pushing a ring of mass \(3 \mathrm{~kg}\) and radius \(0.6 \mathrm{~m}\) with a stick as shown in figure. The stick applies a force of \(3 \mathrm{~N}\) on the ring and rolls it without slipping with an acceleration of 0.4 m/s\(^2\). The coefficient of friction between the ground and the ring is large enough that rolling always occurs and the coefficient of friction between the stick and the ring is \(\frac{F}{10}\). The value of \(F\) is