Slider in a Rotating Tube#

The hollow tube above rotates about its vertical axis at $\omega =\dot{\theta }=params.wrad/s$ and $\dot{\omega }=\ddot{\theta }=params.wdotrad/s^2$. A small $params.mkg$ slider P moves inside the horizontal portion under the control of a string which is being pulled out the bottom of the tube. If $r=params.rm$, $\dot{r}=params.rdotm/s$,and $\ddot{r}=params.rddotm/s^2$, Determine the tension $T$ in the string and the magnitude of the horizontal force $F\mathrm{\_}\theta$ exerted on the tube by the slider.