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Konecranes Oyj is a Finnish company, headquartered in Hyvinkää, which specializes in the manufacture and service of cranes and lifting equipment as well as the service of machine tools. Konecranes is one of the largest crane manufacturers in the world [ 3 ] and it produces about one in ten of the world's cranes, [ 4 ] of which around 80% are ...
Johannes Kepler was the first to successfully model planetary orbits to a high degree of accuracy, publishing his laws in 1605. Isaac Newton published more general laws of celestial motion in the first edition of Philosophiæ Naturalis Principia Mathematica (1687), which gave a method for finding the orbit of a body following a parabolic path ...
Newton's first law expresses the principle of inertia: the natural behavior of a body is to move in a straight line at constant speed. A body's motion preserves the status quo, but external forces can perturb this. The modern understanding of Newton's first law is that no inertial observer is privileged over any other. The concept of an ...
For the simple geometry associated with the figure, there are three equivalent equations for the magnitude of the torque associated with a force directed at displacement from the axis whenever the force is perpendicular to the axis:
Crowell, Benjamin, Light and Matter, an online book that gives a proof of the first law without the use of calculus (see section 15.7) David McNamara and Gianfranco Vidali, "Kepler's Second Law – Java Interactive Tutorial", an interactive Java applet that aids in the understanding of Kepler's Second Law.
Helmholtz's first theorem The strength of a vortex line is constant along its length. Helmholtz's second theorem A vortex line cannot end in a fluid; it must extend to the boundaries of the fluid or form a closed path. Helmholtz's third theorem A fluid element that is initially irrotational remains irrotational.
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