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Ch. 7 Newton`s Third law of Motion Action and Reaction powerpoint
Ch. 7 Newton`s Third law of Motion Action and Reaction powerpoint

... 7.5 Defining Systems think! Suppose a friend who hears about Newton’s third law says that you can’t move a football by kicking it because the reaction force by the kicked ball would be equal and opposite to your kicking force. The net force would be zero, so no matter how hard you kick, the ball won ...
For every force, there is an equal and opposite force.
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7 Newton`s Third Law of Motion–Action and Reaction
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... only if no net torque acts on the system. This isn’t the case for either the pulley or the disk: A net torque due to the tension force acts on the pulley as it rotates, and a net torque due to the force of friction acts on the disk as it rolls downhill. For both objects the moment of inertia I remai ...
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... A glass of water placed on a table remains there unless a force is applied to remove it. Similarly, if a car is moving with uniform velocity, it goes on moving with the uniform velocity. Objects will remain in their state of rest or motion unless a force acts to change the motion. Any change in moti ...
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Chapter 2 notes - Clinton Public Schools

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Determining the Net Force

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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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