Hello guys, Welcome to Africa's Largest Video Search Engine, and you are watching Mechanical Vibrations: Underdamped vs Overdamped vs Critically Damped. and this video is uploaded by Dr. Trefor Bazett at 2021-04-14T09:54:11-07:00. We are just promoting this video only for entertainment and educational purpose only. I hop you like our Video Search Engine. [CTd1uVq5-l8]
| Name | Mechanical Vibrations: Underdamped vs Overdamped vs Critically Damped |
| Video Uploader | Video From Dr. Trefor Bazett |
| Upload Date | This Video Uploaded At 14-04-2021 16:54:11 |
| Video Discription | MY DIFFERENTIAL EQUATIONS PLAYLIST: ►https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw Open Source (i.e free) ODE Textbook: ►http://web.uvic.ca/~tbazett/diffyqs In the previous video in the playlist we saw undamped harmonic motion such as in a spring that is moving horizontally on a frictionless surface just due to Hooke's law. In this video we upgrade and consider friction as well. We get a second order differential equation that is a constant coefficient homogeneous and we know how to solve these. However, qualitatively the type of solution you get depends on the constants. In the cast of underdamped, you get oscillations that decay exponentially. In the case of overdamped, that is too much friction, then it is just exponential decay with no oscillations possible. And then there is the very interesting third case of critically damped that gives a repeated root to the characteristic equation. 0:00 Deriving the ODE 1:58 Solving the ODE (three cases) 3:20 Underdamped Case 5:20 Graphing the Underdamped Case 7:33 Overdamped Case 8:50 Critically Damped OTHER COURSE PLAYLISTS: ►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS ►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6 ►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m ► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n ►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd ►VECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa ►LAPLACE TRANSFORM: https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1 OTHER PLAYLISTS: ► Learning Math Series https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw ►Cool Math Series: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho BECOME A MEMBER: ►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett SOCIALS: ►Twitter (math based): http://twitter.com/treforbazett ►Instagram (photography based): http://instagram.com/treforphotography [CTd1uVq5-l8] |
| Category | Education |
| Tags | Solution | Example | math | overdamped | underdamped | critically damped | harmonic motion | mechanical oscillator | mechanical virbations | mass on a spring | friction | damped | characteristic equation | solve | three cases | graphically | look like |
