Chapter 12, Problem 12.129RP

Telemetry technology is used to quantify kinematic values of a 200-kg roller-coaster cart as it passes overhead. According to the system, r = 25 m, r $\stackrel{\dot{}}{r}=-10\text{m/s}$, $\ddot{r}=-2{\text{m/s}}^{\text{2}}$, θ = 90°, $\stackrel{\dot{}}{\theta }=-0.4\text{rad/s}$, $\ddot{\theta }=-0.32{\text{rad/s}}^{\text{2}}$. At this instant, determine (a) the normal force between the cart and the track, (b) the radius of curvature of the track.

Fig. P12.129