A treatise on the dynamics of a particle, by P.G. Tait and W.J. Steele |
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Σελίδα xi
... Mass , Density , Particle , Force , Momentum , Vis Viva , Kinetic Energy , Measure of Force , Compo- nent of Force , & c . & c . §§ 39-52 . Definition , and Properties , of Center of Inertia , § 53 . Definition of Moment of Momentum ...
... Mass , Density , Particle , Force , Momentum , Vis Viva , Kinetic Energy , Measure of Force , Compo- nent of Force , & c . & c . §§ 39-52 . Definition , and Properties , of Center of Inertia , § 53 . Definition of Moment of Momentum ...
Σελίδα 33
... mass is the mass of unit volume of a body of unit density . If the density vary from point to point , we have , of course , M = SJSpd V. As will be presently explained , the most convenient unit mass is an imperial pound of matter . 41 ...
... mass is the mass of unit volume of a body of unit density . If the density vary from point to point , we have , of course , M = SJSpd V. As will be presently explained , the most convenient unit mass is an imperial pound of matter . 41 ...
Σελίδα 34
... mass and velocity con- jointly . Hence , if we take as unit of momentum the momentum of a unit of mass moving with unit velocity , the momentum of a mass M moving with velocity v is Mv . 43. Change of Quantity of Motion , or Change of ...
... mass and velocity con- jointly . Hence , if we take as unit of momentum the momentum of a unit of mass moving with unit velocity , the momentum of a mass M moving with velocity v is Mv . 43. Change of Quantity of Motion , or Change of ...
Σελίδα 35
... mass of the standard or unit weight ; g being the numerical value of the acceleration produced ( in some par ... mass , is exceedingly inconvenient . In reality , standards of weight are masses , not forces . They are employed primarily ...
... mass of the standard or unit weight ; g being the numerical value of the acceleration produced ( in some par ... mass , is exceedingly inconvenient . In reality , standards of weight are masses , not forces . They are employed primarily ...
Σελίδα 37
... mass into its distance from the same plane divided by the sum of the masses . The distance from the plane of yz , of ... mass collected at the center of inertia . 54. By introducing , in the definition of moment of velo- city ( § 19 ) ...
... mass into its distance from the same plane divided by the sum of the masses . The distance from the plane of yz , of ... mass collected at the center of inertia . 54. By introducing , in the definition of moment of velo- city ( § 19 ) ...
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 acted action angle angular velocity apse apsidal apsidal distances axes axis body center of force central force central orbit chord circle co-ordinates conic section constant cos² curvature curve cycloid d²x described determine the motion direction of motion direction of projection directrix ds ds ds dt dt ds dt dt dt dt dx dt dy dt² dx dt dx dy dy dt dy dz ellipse equal equation of motion evidently fixed point focus given point given velocity gravity Hence hodograph hyperbola inclined plane initial instant integral kinetic latus rectum law of force mass orbit oscillation osculating plane parabola parallel particle is projected particle moves path perpendicular point of projection position radius vector relative motion resolved resultant shew sin² straight line string surface tangent velo 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...