EUREKA ! π = 3.1415926… Archimedes (287 BC - 211 BC) http://www.mcs.drexel.edu/~crorres/Archimedes/Claw/illustrations.html 2006 Andrei Sirenko, NJIT 1 http://www.mcs.drexel.edu/~crorres/Archimedes/Claw/illustrations.html 2006 Andrei Sirenko, NJIT 2006 Andrei Sirenko, NJIT 2 http://www.mcs.drexel.edu/~crorres/Archimedes/Claw/illustrations.html 3 2006 Andrei Sirenko, NJIT 4 Hiero: “Is it really 100% gold ?” Archimedes (287 BC - 211 BC) (Vcrownρw)g (Vgold ρw)g Give me a lever long enough and a place to stand, and I will move the world 1. raft mg 2. Is it really possible ??? 3. mg 2006 Andrei Sirenko, NJIT 5 2006 Andrei Sirenko, NJIT Is it really possible ??? 6 Is it really possible ??? D FArch D Earth LArch F F Earth (M Earth FArch = 600 N = 6×1025 N Earth F FArch = 600 N = 6×1024 kg ) Earth D Arch Earth = FArch Earth (60 kg) = 6×1025 N LArch/L (60 kg) = 1021 m = 0.01 m LArch F Arch (M 1×1023 = 1021 m ; Earth Î = 6×1024 kg ) DArch/D Earth = 1×1023 With the power of P=600N⋅m/s , t = 1021s ≅ 5×1014 years (people do not live that long) If Archimedes moves his arm with the speed of light, then D 2006 Andrei Sirenko, NJIT 7 Arch = 50 m during 5×109 years (life time of the Earth) 2006 Andrei Sirenko, NJIT 8 Perpetuum Mobile “Machine, which works itself forever” Perpetual Motion and “Free Energy” English: Perpetual Motion 2006 Andrei Sirenko, NJIT 9 2006 Example 1 Andrei Sirenko, NJIT 10 More Examples: Balance of Forces: Iron Disk Balance of Torques: Magnet All parts of the cylinder that fall in the greater gravity (magnetic) (magnetic) level must be pushet out, as well. All the work, that a part of cylinder gets when it's moving toward the greater gravity (magnetic) (magnetic) level is needed when it is pushed back out of it.. 2006 Andrei Sirenko, NJIT 11 2006 Andrei Sirenko, NJIT 12 More Examples: More Examples: Iron Ball Magnet Water Put an innertube on a wheel. Fill it two thirds with wather. wather. Put an axle through it so it can spin. Now make another one like like it. Now hold the axels and push the wheel up against each other so that they can squeez each others wather to the outside. The results are that one side of each wheel is lighter than its other side. That is why the the wheel spins. 2006 Andrei Sirenko, NJIT 13 2006 More Examples: Iron Ball Magnets Magnets Pendulum Pendulum Andrei Sirenko, NJIT 14 More Examples: Iron Ball 2006 Andrei Sirenko, NJIT 15 2006 Andrei Sirenko, NJIT 16 More Examples: QZ: We are not using this type of vehicle because a) perpetual motion is forbidden by the Newton's Laws b) police does not allow it c) sitting next to a strong magnet is not good for the driver’s health d) there are no such strong magnets so far e) this vehicle is not going to start moving by itself, so it is not very practical for plane roads. Can be only used to go down the hill. Water buoyant force of Archimedes' principle: "A body immersed in liquid experiences and upward buoyant force equal to the weight of the displaced liquid." 2006 magnet Andrei Sirenko, NJIT 17 2006 iron Andrei Sirenko, NJIT 18
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