A horizontal plank having mass m lies on a smooth horizontal surfuce. A sphere of same mass and radius r is spined to an angular frequency
ω0 and gently placed on the 'plank as shown in the figure. If coefficient of friction between the plank and the sphere is
μ Find the distance moved by the plank till the sphere starts pure rolling on the plank. The plank is long enough
![219164_b434de1a205e421ca166d3491fe207ed.png](https://search-static.byjusweb.com/question-images/toppr_invalid/questions/219164_b434de1a205e421ca166d3491fe207ed.png)