My Math Forum Ask for a video of a simultaneous rotation around two lines

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 July 24th, 2017, 06:36 AM #1 Newbie   Joined: Jun 2017 From: Earth Posts: 17 Thanks: 0 Ask for a video of a simultaneous rotation around two lines We know that if a rigid body is rotating simultaneously about two lines which intersect, the angular velocity is the vector sum of the two angular velocities around the two lines, respectively. I have some difficulty in imagining such a simultaneous rotation, do you know is there any video in internet that shows such a rotation in a clear way? Thanks a lot.
July 24th, 2017, 07:51 AM   #2
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 Originally Posted by zzzhhh We know that if a rigid body is rotating simultaneously about two lines which intersect, the angular velocity is the vector sum of the two angular velocities around the two lines, respectively. I have some difficulty in imagining such a simultaneous rotation, do you know is there any video in internet that shows such a rotation in a clear way? Thanks a lot.
If there's no torque, the resulting angular velocity is no different to a single one. That is, the result of the addition is a constant angular velocity vector with the usual (constant) plane of rotation, but the plane of rotation is different to the two components that were added. There's no "simultaneous rotation" because you'll only get one plane.

However, if there's torque, the vector describing the resultant angular velocity vector changes. If the torque varies, you might get a situation where the rotational plane will constantly change.

Try looking up videos of gimbals or gyroscopes.

 July 24th, 2017, 07:52 AM #3 Senior Member     Joined: Nov 2015 From: United States of America Posts: 198 Thanks: 25 Math Focus: Calculus and Physics I haven't watched this full video, but I know Eugene Khutoryansky has some solid videos on aiding in visualizing concepts in physics. Especially more challenging concepts. Perhaps this will help:

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