1 / 12

Lecture# 12: Rigid Bodies

Lecture# 12: Rigid Bodies. Rigid Body: For system where forces are not concurrent Coplanar Force System, Parallel Force System Non-concurrent etc. F1. F3. F2. Equilibrium: Section 4.1. Necessary Conditions are: Important the Point where forced is apply may rotate the body. P. P.

jmay
Télécharger la présentation

Lecture# 12: Rigid Bodies

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. Lecture# 12: Rigid Bodies • Rigid Body: • For system where forces are not concurrent • Coplanar Force System, Parallel Force System • Non-concurrent etc. F1 F3 F2

  2. Equilibrium: Section 4.1 • Necessary Conditions are: • Important the Point where forced is apply may rotate the body. P P

  3. Moments: • Tendency of Force to rotate the body. • Moment is a Vector: Magnitude + direction • d moment arm, o moment center, F d F d o o d F direction

  4. Can all Forces Produce Moment? • Which of Forces produce moment about point o. y F3 F2 x o F1 d1 d2

  5. Activity #1: • Find the moment of F1 about point A. • Also, indicate direction of moment. y F1=8KN A x 3m

  6. Activity #2: • Find the moment of F1 & F2 about point A. • Also, indicate direction of moment. y F1=8KN F2=3KN 60o A x 3m 6m

  7. Summary: • Moment is a vector: mag. + dir. • Forces that passes through point of interest Mo=0. • Also, Forces Parallel to point o Mo=0. • Direction indicated by: clocwise (-), counter clockwise (+)

  8. Section 4.2: Varignon’s Theorem The moment, M, of the Resultant force, R, is equal to the sum of the moments created by each single force. • NOTE: ALL moments are taken at same point. • Mo = RdR = F1d1 + F2d2 + F3d3 +….+Fndn • Sign Convention for Moments: • (+) counter clockwise • (-) clockwise

  9. Example #2: • Find the moment of F1 about point A. • Also, indicate direction of moment. y F2=3KN 2m 60o A x 6m

  10. Activity #3: • Determine the moment of 250N force about point A. y A F=250N 250mm 210mm 32o x

  11. Example #3: • (a) Find the moments of FA and Fc about point o. • (b) Find moment of Force FB about point D.

  12. Activity #4: • (a) Find the moments of FA and Fc about point C. • (b) Find moment of Force FB about point o.

More Related