1 / 9

Step-by-Step Free-Body Diagram Methodology with Multiple Representations

Learn how to construct free-body diagrams for interacting objects using a method inspired by Dr. Alan Van Heuvelan. The process involves breaking down the universe into point and force vector models, as explained by Leo Takahashi. This comprehensive guide delves into Newton's Third Law and its practical application.

devi
Télécharger la présentation

Step-by-Step Free-Body Diagram Methodology with Multiple Representations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Constructing Free-Body DiagramsA Step-by-Step Method modeled on the multiple representation technique ofDr. Alan Van Heuvelan at Rutgers University Separating the universe into point models of objects and force vector models of everything else Leo Takahashi The Beaver Campus of The Pennsylvania State University

  2. Constructing Free-Body Diagrams for Interacting Objects Featuring Newton’s Third Law  L. H. Takahashi, August 2007

  3. a v a v  m m M

  4. a a FN2 F FN1 fk1  FT fk2 FT fk1 mg Mg FN1  m v M v FBD Block FBD Slab

  5. FBD Slab FBD Block FN2 F FN1 fk1 FT  fk1 fk2 FT a a mg Mg FN1

  6. +y +X FBD Block F FN1  FT fk1 a mg Fx = max FCos - FT – fk1 = ma Fy = may FN1 + FSin - mg = 0

  7. +y +x FBD Slab FN2 fk2 fk1 FT Mg a FN1 FT - fk1 - fk2 = Ma Fx = Max FN2 - FN1 - Mg = 0 Fy = May

  8. FCos - FT - fk1 = ma FN1 + FSin - mg = 0 FT - fk1 - fk2 = Ma FN2 - FN1 - Mg = 0 fk1 = k1FN1 fk2 = k2FN2 Block Equations Slab Equations Friction Equations

More Related