A treatise on the dynamics of a particle, by P.G. Tait and W.J. Steele |
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Αποτελέσματα 1 - 5 από τα 53.
Σελίδα 54
... horizontal line AB . The only impressed force on the particle is its weight g which acts vertically downwards , and this may be resolved into two , g sin a along , and g cosa per- pendicular to , OA . Besides these there is the unknown ...
... horizontal line AB . The only impressed force on the particle is its weight g which acts vertically downwards , and this may be resolved into two , g sin a along , and g cosa per- pendicular to , OA . Besides these there is the unknown ...
Σελίδα 70
... horizontal . ( 7 ) The locus of all points in the same vertical plane for which the least time of sliding down an inclined plane to a circle is constant is another circle . ( 8 ) Two bodies fall in the same time 70 RECTILINEAR MOTION ...
... horizontal . ( 7 ) The locus of all points in the same vertical plane for which the least time of sliding down an inclined plane to a circle is constant is another circle . ( 8 ) Two bodies fall in the same time 70 RECTILINEAR MOTION ...
Σελίδα 71
... horizontal straight line at the same instant . ( 10 ) A semicycloid is placed with its axis vertical and vertex downwards , and from different points in it a number of particles are let fall at the same instant , each moving down the ...
... horizontal straight line at the same instant . ( 10 ) A semicycloid is placed with its axis vertical and vertex downwards , and from different points in it a number of particles are let fall at the same instant , each moving down the ...
Σελίδα 75
... horizontal axis in a given time . ( 37 ) A sphere is composed of an infinite number of free particles , equally distributed , which gravitate to each other without interfering ; supposing the particles to have no initial velocity ...
... horizontal axis in a given time . ( 37 ) A sphere is composed of an infinite number of free particles , equally distributed , which gravitate to each other without interfering ; supposing the particles to have no initial velocity ...
Σελίδα 76
... horizontal and in the vertical plane and sense of projection , and that of y vertically upwards , it is evident that the particle will continue to move in the plane of xy , as it is projected in it , and is subject to no force which ...
... horizontal and in the vertical plane and sense of projection , and that of y vertically upwards , it is evident that the particle will continue to move in the plane of xy , as it is projected in it , and is subject to no force which ...
Άλλες εκδόσεις - Προβολή όλων
A Treatise On the Dynamics of a Particle, by P.G. Tait and W.J. Steele Peter Guthrie Tait,William John Steele Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
A Treatise on the Dynamics of a Particle, by P.G. Tait and W.J. Steele Peter Guthrie Tait,William John Steele Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
A Treatise On the Dynamics of a Particle, by P.G. Tait and W.J. Steele Peter Guthrie Tait,William John Steele Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
acceleration angle angular velocity apse axes axis center of force center of inertia central force central orbit chord circle co-ordinates coefficient of restitution constant cos² curvature cycloid d²x described determine the motion direction of motion direction of projection ds ds ds dt dt ds dt dx dt² dx dt dx dy dy dz ellipse equal equations of motion evidently fixed point focus force varying given point given velocity Hence hodograph hyperbola initial instant integral inversely latus rectum law of force mass orbit oscillation osculating plane parabola parallel particle is projected particle moves path pendulum perihelion perpendicular point of projection position radius vector resistance resolved resultant shew sin² St John's College straight line string suppose surface tangent true anomaly vertex
Δημοφιλή αποσπάσματα
Σελίδα ii - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.
Σελίδα 40 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Σελίδα 40 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Σελίδα 86 - ... g sin 0 parallel to the line of greatest slope on the plane, and therefore the trajectory will still be a parabola, whose dimensions will depend upon 0. Ex. A particle is projected from a given point with a given velocity, and moves on an inclined plane/ find the locus of the directrices of its path for different inclinations of the plane. It will be easily seen that when a particle moves on an inclined plane, the velocity at any point is equal to that which would have been acquired by sliding...
Σελίδα 44 - To every action there is always an equal and contrary reaction ; or the mutual actions of any two bodies are always equal and oppositely directed.
Σελίδα ii - FROST.— The First Three Sections of Newton's Principia. With Notes and Problems in illustration of the subject. By PERCIVAL FROST, MA late Fellow of St.
Σελίδα 14 - Hence the moment of the resultant is equal to the sum of the moments of the two components.
Σελίδα 70 - The straight line down which a particle will slide in the shortest time from a given point to a given circle in the same vertical plane, is the line joining the point to the upper or lower extremity of the vertical diameter, according as the point is within or without the circle.
Σελίδα 302 - B, 0, &c. for which e is given, are placed in a line ; A is projected with given velocity so as to impinge on B, B then impinges on C, and so on ; find the masses of the balls B, C, &c. in order that each of the balls A, B, C, &c.
Σελίδα 44 - From this it follows that the sum of the quantities of motion, parallel to any fixed direction, of the particles of any system influencing one another in any possible way, remains unchanged by their mutual action ; also that the sum of the moments of momentum of all the particles...