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Moment
- 2. αααΌααα Moment α‘. αααΌαααααΆαα·ααααΆ ααΆααααααααΎαααααΆαα αααααααα·ααααααα α 1. Moment is tendency produce rotation . 2. Moment is the resultant force applied to the bracket multiplied by the distance between the point of force application (center of the bracket) and the center of resistance of the tooth. α’. αααΌαααααΆαααααααα½αααΆααααααΆααααααα»ααααΆαααααααα ααΉααααααΆααααΈα ααΉα α αααΆαααΈααααααα αα·ααααααΆααααΈααα ααΆααα ααα»α αααα»ααααααααααααα α
- 3. Center of resistance α ααα»α αα»ααααααααααα αααΌααα Moment
- 4. Center of resistance α ααα»α αα»ααααααααααα αααΌααα Moment 1. Center of resistance is reference point for controlling tooth displacement patterns, translation, or tipping. α‘. α ααα»α αα»ααααααααααα ααΆα ααα»α ααααΆααααααααααααααα αααΎα ααααααααα 2. The center of resistance is the point a force has to pass through in order to move an object freely in a linear manner. α’. α ααα»α αα»ααααααααααα ααΆ ααΊααΆα ααα» α ααααααΆα αααααααΌαααααααΆαααααΎαααΈαααα ααααΈαααααα½ααααααααΈα
- 5. Center of resistance α ααα»α αα»ααααααααααα αααΌααα Moment α’. α ααα»α αα»ααααααααααα ααΆ ααΊααΆα ααα» α ααααααΆα αααααααΌαααααααΆαααααΎαααΈαααα ααααΈαααααα½ααααααααΈα 1. Center of resistance is reference point for controlling tooth displacement patterns, translation, or tipping. α‘. α ααα»α αα»ααααααααααα ααΆα ααα»α ααααΆααααααααααααααα αααΎα ααααααααα 2. The center of resistance is the point a force has to pass through in order to move an object freely in a linear manner.
- 6. Center of resistance α ααα»α αα»ααααααααααα αααΌααα Moment α’. α ααα»α αα»ααααααααααα ααΆ ααΊααΆα ααα» α ααααααΆα αααααααΌαααααααΆαααααΎαααΈαααα ααααΈαααααα½ααααααααΈα 1. Center of resistance is reference point for controlling tooth displacement patterns, translation, or tipping. α‘. α ααα»α αα»ααααααααααα ααΆα ααα»α ααααΆααααααααααααααα αααΎα ααααααααα 2. The center of resistance is the point a force has to pass through in order to move an object freely in a linear manner. 3. A moment also has a sense; A clockwise rotation about the center of moments will be considered a positive moment; while a counter-clockwise rotation about the center of moments will be considered negative. α£. αααΎα αααααααΌααααααααααΆααα·ααααα‘α·ααΆααααααααΆαα·αααααΆα αααΎααα»αααΈαααααα·α αααα‘α·ααΆααααααααΆα’αα·αααααΆαα
- 7. Center of resistance α ααα»α αα»ααααααααααα F=Force αααααααααααααα αααΎαααααΆααααΈα αααΌααα Moment
- 8. D=Distance α αααΆαααΈααααααααΎαααααΆααααΈα αα ααΆααα ααα»α αα»ααααααααααα Center of resistance α ααα»α αα»ααααααααααα F=Force αααααααααααααα αααΎαααααΆααααΈα αααΌααα Moment
- 9. Moment=Force x Distance αααΌααα=ααααα x α αααΆα αααΌααα Moment D=Distance α αααΆαααΈααααααααΎαααααΆααααΈα αα ααΆααα ααα»α αα»ααααααααααα Center of resistance α ααα»α αα»ααααααααααα F=Force αααααααααααααα αααΎαααααΆααααΈα
- 10. Moment=Force x Distance=100gmx12mm=1200 gm mm D=Distance=12mm α αααΆαααΈααααααααΆααααΈα αα ααΆααα ααα»α αα»ααααααααααα=α‘α’ αα Center of resistance α ααα»α αα»ααααααααααα F=Force=100gm αααααααααααααα αααΎαααααΆααααΈα=α‘α α αααααΆα αααΌααα=ααααα x α αααΆα=α‘α α αααααΆα x α‘α’ αα=α‘α’α α αααααΆα αα α§ααΆα ααα αααΌααα Moment
- 11. α§ααΆα ααα αααΌααα Moment α ααααααααααΆαααααΌααα αααααααΆαααααα αααααααα Translation=body movement 0 αααΎαααΌααα=α If moment=0 αααΌααα moment - +
- 12. α§ααΆα ααα αααΌααα Moment 0 αααΌααα moment - + α ααααααααααΆαααααΌααα ααααααααααα·α αααα‘α·ααΆ Clockwise tipping movement of tooth movement αααΎαααΌααααα·αααααΆααα α If moment increase positive more
- 13. α§ααΆα ααα αααΌααα Moment 0 αααΌααα moment - + α ααααααααααΆαααααΌααα ααααααααααα·α αααα‘α·ααΆ Clockwise tipping movement of tooth movement αααΎαααΌααααα·αααααΆααα α If moment increase positive more
- 14. α§ααΆα ααα αααΌααα Moment 0 αααΌααα moment - + α ααααααααααΆαααααΌααα ααααααααααα·α αααα‘α·ααΆ Clockwise tipping movement of tooth movement αααΎαααΌααααα·αααααΆααα α If moment increase positive more
- 15. α§ααΆα ααα αααΌααα Moment 0 αααΌααα moment - + α ααααααααααΆαααααΌααα ααααααααααα·α αααα‘α·ααΆ Clockwise tipping movement of tooth movement αααΎαααΌααααα·αααααΆααα α If moment increase positive more
- 16. α§ααΆα ααα αααΌααα Moment 0 αααΌααα moment - + α ααααααααααΆαααααΌααα ααααααααααα·α αααα‘α·ααΆ Clockwise tipping movement of tooth movement αααΎαααΌααααα·αααααΆααα α If moment increase positive more
- 17. α§ααΆα ααα αααΌααα Moment 0 αααΌααα moment - + α ααααααααααΆαααααΌααα ααααααααααα·α αααα‘α·ααΆ Clockwise tipping movement of tooth movement αααΎαααΌααααα·αααααΆααα α If moment increase positive more
- 18. α§ααΆα ααα αααΌααα Moment α ααααααααααΆαααααΌααα ααα»αααΈαααααα·α αααα‘α·ααΆ Counter-Clockwise tipping movement of tooth movement 0 αααΎαααΌαααα’αα·αααααΆααα α If moment increase negative more αααΌααα moment - +
- 19. α§ααΆα ααα αααΌααα Moment α ααααααααααΆαααααΌααα ααα»αααΈαααααα·α αααα‘α·ααΆ Counter-Clockwise tipping movement of tooth movement 0 αααΎαααΌαααα’αα·αααααΆααα α If moment increase negative more αααΌααα moment - +
- 20. α§ααΆα ααα αααΌααα Moment α ααααααααααΆαααααΌααα ααα»αααΈαααααα·α αααα‘α·ααΆ Counter-Clockwise tipping movement of tooth movement 0 αααΎαααΌαααα’αα·αααααΆααα α If moment increase negative more αααΌααα moment - +
- 21. α§ααΆα ααα αααΌααα Moment α ααααααααααΆαααααΌααα ααα»αααΈαααααα·α αααα‘α·ααΆ Counter-Clockwise tipping movement of tooth movement 0 αααΎαααΌαααα’αα·αααααΆααα α If moment increase negative more αααΌααα moment - +
- 22. α§ααΆα ααα αααΌααα Moment α ααααααααααΆαααααΌααα ααα»αααΈαααααα·α αααα‘α·ααΆ Counter-Clockwise tipping movement of tooth movement 0 αααΎαααΌαααα’αα·αααααΆααα α If moment increase negative more αααΌααα moment - +
- 23. α§ααΆα ααα αααΌααα Moment α ααααααααααΆαααααΌααα ααα»αααΈαααααα·α αααα‘α·ααΆ Counter-Clockwise tipping movement of tooth movement 0 αααΎαααΌαααα’αα·αααααΆααα α If moment increase negative more αααΌααα moment - +
- 24. α§ααΆα ααα αααΌααα Moment α ααααααααααΆαααααΌααα ααα»αααΈαααααα·α αααα‘α·ααΆ Counter-Clockwise tipping movement of tooth movement 0 αααΎαααΌαααα’αα·αααααΆααα α If moment increase negative more αααΌααα moment - +