A solid sphere of mass \(2\) **kg** and radius \( 0.1 \) **m** is placed on plank with rough surface and of equal mass. But the plank lie on a smooth horizontal surface. The sphere is now given a sharp impulse in horizontal direction so that it starts sliding with a speed \(18 \frac{m}{s} \). After some time the sphere starts pure rolling on the plank. Given that the coefficient of friction between plank and sphere is \(0.5\). Now your task is just to find what is the time taken by sphere to start *Pure rolling* on the *Plank* in **milliseconds**. And take acceleration due to gravity, **g** = \( 10 \frac{m}{s^2} \).

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