EAS208_L02_012111

EAS208_L02_012111 - LAW OF GRAVITATIONAL ATTRACTION 2 E E R...

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EAS208 Engineering Dynamics Introduction to Newtonian Mechanics
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Isaac Newton, Principia Mathematica, 1686 AXOIMS, or LAWS OF MOTION First Law A particle remains at rest or continues to move in a straight line with constant velocity if there are no unbalanced forces acting on it Second Law The resultant force acting on a particle is proportional to the time rate of change of momentum of the particle Third Law The forces of action and reaction between interacting particles are equal in magnitude, opposite in direction, and collinear
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Isaac Newton, Principia Mathematica, 1686 LAW OF GRAVITATIONAL ATTRACTION 2 2 1 r m m G F = : F Mutual force of attraction : G : , 2 1 m m : r Universal gravitation constant (6.67x10 -11 m 3 /kg.s 2 ) Mass of particles 1 and 2 Distance between particle centers
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Isaac Newton, Principia Mathematica, 1686
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Unformatted text preview: LAW OF GRAVITATIONAL ATTRACTION 2 E E R m G g = Gravitational Acceleration of a Body on Earth g W m = Complications arise because the Earth is not quite a fixed sphere, but instead is an rotating oblate spheriod. kg m E 24 10 6 × ≅ mi km R E 4000 6400 ≅ ≅ 2 2 / 2 . 32 / 81 . 9 s ft s m g = ≅ Weight of Body (with mass m ) on Earth: International System (SI) * Length meter (m) * Mass kilogram (kg) * Time second (s) Force Newton (N) U.S. Customary System * Length foot (ft) Mass slug * Time second (s) * Force pound (lb) * Fundamental unit Newtonian Mechanics UNITS 1 N: Force that accelerates 1kg mass at 1 m/s 2 1 slug: Mass that a 1lb force accelerates at 1 ft/s 2...
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This note was uploaded on 04/08/2011 for the course EAS 208 taught by Professor Mehdiahmadizadeh during the Spring '08 term at SUNY Buffalo.

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EAS208_L02_012111 - LAW OF GRAVITATIONAL ATTRACTION 2 E E R...

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