Download e-book for kindle: Bioengineering Analysis of Orthodontic Mechanics by Robert J. Nikolai

By Robert J. Nikolai

ISBN-10: 0812109228

ISBN-13: 9780812109221

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Introduction to Vector Analysis. 4th Ed. Boston, Allyn & Bacon, 1979, Chapter 1. : Trigonometry. 3rd Ed. New York, Macmillan, 1979, Chapters 1, 4, 5, and Appendix A. : Materials Science in Dentistry. Baltimore, Williams & Wilkins, 1972, Chapter 1. : Mathematical Handbook of Formulas and Tables. Schaum's Outline Series. New York, McGraw-Hill, 1968. : Theory and Problems of Vector Analysis. New York, Schaum, 1959, Chapter 1. : Atlas of Orthodontic Principles. St. V. Mosby, 1970, Chapter 5. : Analytic Geometry.

Although introduced individually, note that in large measure the concepts and principles "fit" together or accumulate to ultimately form a packaged procedure to be employed in analyses wherein total descrip•tions are required of force systems induced in the orthodontic appliance and in the dentition to which the appliance is attached. Force is defined as an act upon a body that changes or tends to change the state of rest or the motion of that body. The categories of forces are numerous, and forces are described in many different ways.

If the distance from point 0 measured along OB is d to the line of action of F, the magnitude of the moment of force F about point 0 is the product of the force magnitude F and the distance d. Given the manner of support of the body in the figure, the application of force F would displace the body from the position shown and cause an angular change in the initially vertical line through point G (the center of gravity, through which the weight resultant acts). The moment of a force about a point is a vector quantity; the direction of the moment vector is perpendicular to the plane defined by the force vector and the point.

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Bioengineering Analysis of Orthodontic Mechanics by Robert J. Nikolai

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