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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.

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Lecture# 12: Rigid Bodies

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  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.

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