CycloidA small stone with a mass of $m=$ g is stuck in a tire. The radius of the tire is $R=$ m. The stone follows a cycloid as the tire rolls. The tire rolls with a constant velocity $v=$ m/s. The position vector of the stone is, \(\vec{r}(t)= R\left(\frac{vt}{R}-\sin(\frac{vt}{R})\right) \,\hat{x}+R\left(1-\cos(\frac{vt}{R})\right)\,\hat{y} \) [m]. |