By Robert J. Nikolai
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Extra resources for Bioengineering Analysis of Orthodontic Mechanics
Mechanics is subdivided by the physicist according to the sizes of the bodies studied (from the smallest subatomic parts of matter—quantum mechanics— to the planets and galaxies—astronomy) and with respect to the degree of motion (from no movement whatsoever to bodies moving at rates of the order of the speed of light). , the fundamental principles of particle mechanics, as understood today, were formulated by Sir Isaac Newton in the seven- Mechanics, teenth century. Newtonian mechanics pertain to bodies of moderate size, if moving then not at the excessive speeds where mass and velocity may become relatively, mutually indistinguishable, and is separable from relativity theory and celestial mechanics.
Determination of the moment of a force about a point in two dimensions by using rectangular components of that force in the plane. seemingly difficult geometry program while the moment arms of the components become clear after the coordinates of the moment center and one point on the line of action of the force are known. The more complex problems of determining the net rotational effect of a system of forces, which may be two-dimensional but nonconcurrent or three-dimensional in nature, have been outlined as to general approach.
Apparent now is the general, three-dimensional nature of the moment representation and computation. The moment axis typically does not lie in the plane of the force and the moment arm. In fact, if the moment axis is in the plane of the force and moment arm, either the axis intersects the line of action of the force and, therefore, the length of the moment arm is zero, or the axis is parallel to the force; in both cases the tendency for rotation about the specified axis is nonexistent, and, correspondingly, the moment with respect to the specific axis is zero.
Bioengineering Analysis of Orthodontic Mechanics by Robert J. Nikolai