Lessons on Rigid Dynamics |
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... Problems ; Whewell's History of the Inductive Sciences ; Willis ' Principles of Me- chanism ; Müller's Lehrbuch der kosmischen Physik ; Mon- tucla's Histoire des Mathématiques ; D'Alembert's Traité de Dynamique , and Euler's Mechanik ...
... Problems ; Whewell's History of the Inductive Sciences ; Willis ' Principles of Me- chanism ; Müller's Lehrbuch der kosmischen Physik ; Mon- tucla's Histoire des Mathématiques ; D'Alembert's Traité de Dynamique , and Euler's Mechanik ...
Page 3
... problems . If a body is solicited to two different motions by two simultaneous causes , it will in reality follow neither ; but it may be supposed to have followed both . Thus the very extravagant idea of some of the earliest writers on ...
... problems . If a body is solicited to two different motions by two simultaneous causes , it will in reality follow neither ; but it may be supposed to have followed both . Thus the very extravagant idea of some of the earliest writers on ...
Page 20
... Problems , an interesting sketch of the errors into which mathematicians fell , and the difficulties they overcame before arriving at that principle first correctly stated by D'Alembert in 1742 . The first Rigid Dynamics problem which ...
... Problems , an interesting sketch of the errors into which mathematicians fell , and the difficulties they overcame before arriving at that principle first correctly stated by D'Alembert in 1742 . The first Rigid Dynamics problem which ...
Page 21
... problems by other philosophers , he complains that a new geometrical solution is required for each separate problem , and therefore tries to reduce their methods to analysis . Thereafter the impulse given by D'Alembert in 1742 caused ...
... problems by other philosophers , he complains that a new geometrical solution is required for each separate problem , and therefore tries to reduce their methods to analysis . Thereafter the impulse given by D'Alembert in 1742 caused ...
Page 23
... problem to which D'Alembert applies his principle is to find the velocity of a rod CR , fixed at C ' , and C B 0 M R loaded with any number * of bodies A , B , R ; supposing that these bodies , if the rod did not hinder them , would ...
... problem to which D'Alembert applies his principle is to find the velocity of a rod CR , fixed at C ' , and C B 0 M R loaded with any number * of bodies A , B , R ; supposing that these bodies , if the rod did not hinder them , would ...
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Common terms and phrases
angular acceleration angular momentum angular velocity Cambridge centre of inertia centre of mass Christ's College cloth co-ordinates cos² couple Crown 8vo cylinder direction distance dt dt dt² effective forces ellipsoid English equal equilibrium Extra fcap fixed axis fixed point force acting friction geometrical Hence hoop horizontal plane impressed forces impulsive inclined kinetic energy late Fellow length 2a linear Mathematical middle point moment of inertia moments of inertia motion moving numerous oscillation Owens College particle pendulum perpendicular position pressure principal axes principle problem product of inertia Professor Prove radius radius of gyration resultant reversed right angles rigid body rotation round Schools Second Edition shew solution sphere straight line string suppose taking moments tion translation tube uniform rod vertical plane whence whole zero Σδη
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