Lecture 8 Flashcards
What is it called when a load is applied to an object that will tend to move it to a different position in space?
force
point at which resistance to movement can be concentrated for math analysis.
Center of Resistance
*For an object in free space, the center of resistance is in the same as the center of mass
Where is the center of resistance when a tooth root is embedded in bone?
half way between the root apex and the crest of the alveolar bone
A measure of the tendency of a force to rotate an object around some piont
moment
what is a moment generated by?
a force acting at a distance to the center of the resistance
what is a couple?
two forces equal in magnitude and in opposite directions
*create spinning object
what is the center of rotation?
point where the rotation actually occurs
where is the center of resistance for a tooth?
approximately at midpoint of the embedded portion of the root
*technically at 6 tenths
where is the moment arm?
the perpendicular distance from the point of force application to the center of resistance
using a lingually directed force and a buccally directed force on the crown of a tooth is an example of what?
a couple
using an ortho bracket to place a couple force on the crown of a tooth is an example of what?
a couple
if the moment arm is small, the force must be _____
large to generate the necessary Mc
what determines the type of tooth movement?
ratio between the moment produced by the force applied and the counterbalancing moment produced by the couple
what determines where the center of the rotation will be on the tooth?
the moment couple ratios
what happens when there is no couple?
the tooth rotations around the center of resistance
*creates pure tipping movement
what is it called when the moment-to-force ratio increases and the center of rotation is displaced further and further apically, away from the center of resistance?
controlled tipping
loss of alveolar bone height moves the center of resistance closer to the apex or incisal edge?
closer to the apex
what is force times distance?
magnitude of tipping moment from force
what happens when the center of resistance moves apically?
the tipping moment produced by the force (Mf) increases because the moment arm is longer
what is required if root movement in someone with alveolar bone loss is the goal?
a fixed appliance
*almost impossible with braces or clear aligners
where is heavy pressure felt when moving teeth?
apex and crest of alveolar bone
*ZERO pressure at center of resistance
what is the optimal force to create rotational movement?
35-60 grams
a Hawley retainer with finger spring is capable of moving a tooth by which type of movement?
tipping
how does a hawley retainer work?
finger spring places a single force at a distance from the center of resistance…causing tipping at center of resistance
*what direction of incisal movement
what is it called when the PDL space is loaded uniformly from alveolar crest to apex?
translation
- rectangular diagram
- twice as much force needed compared to tipping
optimal force for translation?
70-120 grams
*twice as much force needed compared to tipping
what kind of tooth movement occurs when a force is concentrated over a small area at the apex?
Intrusion
what is the optimal force for intrusion?
10-20 grams
*very light!
optimal pressure for extrusion?
35-60 grams
what 2 things would an ideal spring do?
1-maintain the same amount of force regardless of distance
2-would be the most ideal force system for ortho tooth movement
*but real springs’ force decays as tooth moves away
What is a continuous force in ortho?
forces that are maintained between activations, even though force declines
what are interrupted forces?
forces drop to zero between activations
what are intermittent forces?
forces that fall to zero when a removable appliance is taken out, but resumes when its is reinserted.
*these forces also decay as tooth movement occurs
On a typical force deflection curve, what does the slope of the linear portion represent?
the wire stiffness
on a force-deflection curve, what does the range on the x axis represent?
permanent deformation