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Normal Force
Normal Force

... Indeed, if no force in needed to keep the body in motion with constant velocity, all such states of motion are equivalent. For different inertial observers the object will appear moving with different but constant velocity (which may be zero). ...
Unit 3 Test Study Guide
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... 5. A cone of height h and base radius R is free to rotate about a fixed vertical axis as shown in Fig.3. It has a thin groove cut in the surface. The cone is set rotating freely with angular speed ω0 and a small block of mass m is released in the top of the frictionless groove and allowed to slide u ...
Newton`s Laws…Conceptually
Newton`s Laws…Conceptually

... 9. When you compress a sponge, which quantity changes: mass, inertia, volume, or weight? 10. What is the cause of friction, and in what direction does it act with respect to the motion of a sliding object? 11. All other things being equal, why does a heavy skydiver have a terminal speed greater than ...
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Lecture1_Inertia
Lecture1_Inertia

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... In order to solve this problem we need the total distance of the trip. This is equal to the sum of   the partial distances. We have the first one : 130 km so we just have to find the second one. Since   we   have   the   velocity,   65   km/h,   the   time   elapsed   during   the   second   leg   i ...
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June 2016 - Maths Genie

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Newton's theorem of revolving orbits



In classical mechanics, Newton's theorem of revolving orbits identifies the type of central force needed to multiply the angular speed of a particle by a factor k without affecting its radial motion (Figures 1 and 2). Newton applied his theorem to understanding the overall rotation of orbits (apsidal precession, Figure 3) that is observed for the Moon and planets. The term ""radial motion"" signifies the motion towards or away from the center of force, whereas the angular motion is perpendicular to the radial motion.Isaac Newton derived this theorem in Propositions 43–45 of Book I of his Philosophiæ Naturalis Principia Mathematica, first published in 1687. In Proposition 43, he showed that the added force must be a central force, one whose magnitude depends only upon the distance r between the particle and a point fixed in space (the center). In Proposition 44, he derived a formula for the force, showing that it was an inverse-cube force, one that varies as the inverse cube of r. In Proposition 45 Newton extended his theorem to arbitrary central forces by assuming that the particle moved in nearly circular orbit.As noted by astrophysicist Subrahmanyan Chandrasekhar in his 1995 commentary on Newton's Principia, this theorem remained largely unknown and undeveloped for over three centuries. Since 1997, the theorem has been studied by Donald Lynden-Bell and collaborators. Its first exact extension came in 2000 with the work of Mahomed and Vawda.
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