Lessons on Rigid Dynamics |
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Page 26
... for that consists of two equal and opposite forces acting on the North and South poles respectively . 8. Forces are also divided in Kinetics into impulsive and The accelerating forces , i . e . into blows 26 COUPLES .
... for that consists of two equal and opposite forces acting on the North and South poles respectively . 8. Forces are also divided in Kinetics into impulsive and The accelerating forces , i . e . into blows 26 COUPLES .
Page 79
... words , the momental ellipsoid at the centre of mass must be a spheroid . And then the point lies on the unequal axis at a distance from the centre equal to A B + - m 80 EXAMPLES . 1. Given A , B the moments KINETIC CENTRE . 579.
... words , the momental ellipsoid at the centre of mass must be a spheroid . And then the point lies on the unequal axis at a distance from the centre equal to A B + - m 80 EXAMPLES . 1. Given A , B the moments KINETIC CENTRE . 579.
Page 144
... kinetic . Or the water in a mill - dam could do work before falling to a lower level ; it has energy which is called poten- tial , and which is due to a position of advantage relatively to a force . A mass of gunpowder has in it a store ...
... kinetic . Or the water in a mill - dam could do work before falling to a lower level ; it has energy which is called poten- tial , and which is due to a position of advantage relatively to a force . A mass of gunpowder has in it a store ...
Page 146
... kinetic energy of a moving rigid body is Σδι 2 2 2 } Σôm { ( de ) 2 + ( dz ) 2 + ( da ) " } . dt dy dz dt dt 7. To establish the law of the conservation of energy , we have then to shew that the gain or loss of kinetic energy while the ...
... kinetic energy of a moving rigid body is Σδι 2 2 2 } Σôm { ( de ) 2 + ( dz ) 2 + ( da ) " } . dt dy dz dt dt 7. To establish the law of the conservation of energy , we have then to shew that the gain or loss of kinetic energy while the ...
Page 148
... kinetic energy , and Σf ( Xdx + Ydy + Zdz ) .. is the work done by the forces on the system , ( i.e. ) the loss of potential energy . The equation may therefore be ex- pressed : the sum of the kinetic and potential energies is constant ...
... kinetic energy , and Σf ( Xdx + Ydy + Zdz ) .. is the work done by the forces on the system , ( i.e. ) the loss of potential energy . The equation may therefore be ex- pressed : the sum of the kinetic and potential energies is constant ...
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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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