A rectilinear tube of length 2l rotates with a constant angular speed ω around the vertical axis through the middle of the tube at a constant angle αα!=0 with the tube. The tube does not move up or down. A bead slides along the tube.
At some moment of time the bead is at a distance bb from the middle of the tube, and has a speed Vr relative to the tube. What is the absolute speed Va of the bead at this moment of time?
I know you need to use pythagoras. SO far I calculated the transport velocity as ωb and just left the relative velocity as Vr as I can't work out any other answer it could be. So then is the absolute velocity just the square root of (ω^2)(b^2) + (Vr)^2 ?