Slider in a Rotating Tube#

A vertical hollow tube rotating about its vertical axis at omega rad per second is connected to a horizontal hollow tube in which a slider P moves under control of a string. The distance from the slider to the point of connection is R. The tension in the string acts downwards.

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.

Part 1#

Answer Section#

Please enter in a numeric value in Netwons.

Part 2#

Answer Section#

Please enter in a numeric value in Newtons.

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.