Rigid body dynamics | Wikipedia audio article
Channel: Subhajit Sahu
Date: 25/12/2018

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Rigid_body_dynamics


00:00:58 1 Planar rigid body dynamics
00:09:22 2 Rigid body in three dimensions
00:09:32 2.1 Orientation or attitude descriptions
00:09:52 2.1.1 Euler angles
00:10:25 2.1.2 Tait–Bryan angles
00:10:57 2.1.3 Orientation vector
00:12:01 2.1.4 Orientation matrix
00:13:05 2.1.5 Orientation quaternion
00:13:37 2.2 Newton's second law in three dimensions
00:14:51 2.3 Rigid system of particles
00:19:24 2.4 Mass properties
00:22:22 2.5 Force-torque equations
00:24:43 2.6 Rotation in three dimensions
00:29:07 3 Virtual work of forces acting on a rigid body
00:30:30 3.1 Virtual work
00:35:10 3.2 Generalized forces
00:40:00 4 D'Alembert's form of the principle of virtual work
00:40:33 4.1 Static equilibrium
00:45:54 4.2 Generalized inertia forces
00:50:08 4.3 Dynamic equilibrium
00:52:45 4.4 Lagrange's equations
00:54:39 5 Linear and angular momentum
00:54:49 5.1 System of particles
00:59:13 5.2 Rigid system of particles
01:03:15 6 Applications
01:03:57 7 See also



Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago.

Learning by listening is a great way to:
- increases imagination and understanding
- improves your listening skills
- improves your own spoken accent
- learn while on the move
- reduce eye strain

Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone.

Listen on Google Assistant through Extra Audio:
https://assistant.google.com/services/invoke/uid/0000001a130b3f91
Other Wikipedia audio articles at:
https://www.youtube.com/results?search_query=wikipedia+tts
Upload your own Wikipedia articles through:
https://github.com/nodef/wikipedia-tts



"There is only one good, knowledge, and one evil, ignorance."
- Socrates



SUMMARY
=======
Rigid-body dynamics studies the movement of systems of interconnected bodies under the action of external forces.  The assumption that the bodies are rigid, which means that they do not deform under the action of applied forces, simplifies the analysis by reducing the parameters that describe the configuration of the system to the translation and rotation of reference frames attached to each body. This excludes bodies that display fluid, highly elastic, and plastic behavior.
The dynamics of a rigid body system is described by the laws of kinematics and by the application of Newton's second law (kinetics) or their derivative form Lagrangian mechanics. The solution of these equations of motion provides a description of the position, the motion and the acceleration of the individual components of the system and overall the system itself, as a function of time.  The formulation and solution of rigid body dynamics is an important tool in the computer simulation of mechanical systems.