## UY1: More About Rolling Motion

Sphere On An Incline From sphere on an incline, we know that the frictional force and the acceleration of the centre of mass is given by: $$\begin{aligned} f &= \frac{2}{5} Ma_{\text{CM}} \\ a_{\text{CM}} &= \frac{5}{7} g \sin{\theta} \end{aligned}$$ Combining the two, we have: $$f = \frac{2}{7} Mg \sin{\theta}$$ If we increase $\theta$ until the frictional force is larger than the …