# Charged Ring Rolling!

A non-conducting ring of mass $$m$$ and radius $$R$$, the charge per unit length $$\lambda$$ is shown in figure. It is then placed on a rough non-conducting horizontal plane. At time $$t=0$$, a uniform electric field $$\vec{E} = E_0 \hat{i}$$ is switched on and the ring starts rolling without sliding. Find the frictional force $$(f)$$acting on the ring.

Given - $$|E_0| = 3 , R = 4m , |\lambda| = 6$$

Find the value of $$\sqrt{\frac{f}{2R}}$$.

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