# Slider in a Rotating Tube#

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