Hi, thank you for the informative lecture. At 15:00, is the r vector (the vector in the righthand side of the transport theorem) defined in the inertial frame (N) or B frame (B)?
@@ProfessorRoss Thank you for the reply. But I am not really understanding what the vector being independent from the frames really means. Wouldn't writing in either frames change the components of the r vector (the components are relative to either frames), thus changing the left side of the equation (the r dot vector in the inertial frame)?
It might help to look at the next video ruclips.net/video/iFJBi4YmCOs/видео.html on worked examples using the transport theorem. The frame you take the derivative with respect to (e.g., N or B) does *not* have to be the same as the frame you write the components of the vector in.
@@satoyusei3075 That is one of the problems of our education system.. Vectors exist independently of the frames!!! The vector from the center of new york to the center of new jersey exist by its own virtue.. But it can be expressed in any possible frame. Generally in school we always consider a vector expressed in a basis. In time, this generates the false perception that in order to define a vector we need a basis first.
Just out of curiosity, is this course an undergraduate or graduate level class at Virginia Tech? Also, I’m assuming it’s an elective for aerospace/mechanical engineers right?
This is an undergraduate (junior year) REQUIRED course for all students in the space engineering track of the aerospace major (we have space and aircraft tracks). We had almost 200 students enrolled this Spring 2022.
Waiting to see if Prof. Schaub will see this video and make the correction for the next edition of the book 😅 I've seen him teach in Coursera and he seems a lot of fun as well.
I know him and have worked with him. He's great and I've been teaching from his book since he was at Virginia Tech. The kinematics notation is very careful -- good for beginners.
Thank you for making these lectures available Dr Ross, very much appreciated.
You're welcome. I'm glad you find them useful!
Thanks Dr. Ross for making these videos available
Glad you like them!
I am enjoying every content you have posted.Thank a lot😄
This lecture is even better than the mit openware course. Thank you.
Thank you. Glad you think so!
@22:29 How do any two frames are related by an angular velocity vector? This is not explained.. Is ir omega_b/n = -omega_n/b ??
Amazing lecture!
Loved the subtle Beck reference
Hi, thank you for the informative lecture. At 15:00, is the r vector (the vector in the righthand side of the transport theorem) defined in the inertial frame (N) or B frame (B)?
You could write it in either frame: It is the vector, independent of which frame it is written in.
@@ProfessorRoss Thank you for the reply. But I am not really understanding what the vector being independent from the frames really means. Wouldn't writing in either frames change the components of the r vector (the components are relative to either frames), thus changing the left side of the equation (the r dot vector in the inertial frame)?
It might help to look at the next video ruclips.net/video/iFJBi4YmCOs/видео.html on worked examples using the transport theorem. The frame you take the derivative with respect to (e.g., N or B) does *not* have to be the same as the frame you write the components of the vector in.
@@ProfessorRoss Thank you! I watched the videos and now understand why it doesn't matter which frame you choose to write the r vector in.
@@satoyusei3075 That is one of the problems of our education system.. Vectors exist independently of the frames!!! The vector from the center of new york to the center of new jersey exist by its own virtue.. But it can be expressed in any possible frame.
Generally in school we always consider a vector expressed in a basis. In time, this generates the false perception that in order to define a vector we need a basis first.
where can I find the homework?
Currently, those are only available to those taking the class at Virginia Tech.
Just out of curiosity, is this course an undergraduate or graduate level class at Virginia Tech? Also, I’m assuming it’s an elective for aerospace/mechanical engineers right?
This is an undergraduate (junior year) REQUIRED course for all students in the space engineering track of the aerospace major (we have space and aircraft tracks). We had almost 200 students enrolled this Spring 2022.
Waiting to see if Prof. Schaub will see this video and make the correction for the next edition of the book 😅
I've seen him teach in Coursera and he seems a lot of fun as well.
I know him and have worked with him. He's great and I've been teaching from his book since he was at Virginia Tech. The kinematics notation is very careful -- good for beginners.
You misgendered the poor gamma_g as a phi, and as an omega 😢
In all seriousness though these lectures are amazing, can't thank you enough!