A Treatise On Dynamics of a Particle With Numerous Examples
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In our eReader you can find the full English version of the book. Read A Treatise On Dynamics of a Particle With Numerous Examples Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Treatise On Dynamics of a Particle With Numerous Examples
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To quickly assess the difficulty of the text, read a short excerpt:
The motion of some one particle, say m^, is determined by the two polar equations of that particle.
The result is, that if the particles move so as to be always at the corners of a similar figure, that figure must be such that the resultant accelerating forces on the particles act towards the common centre of gravity and are proportional to the distances from 0. This being true initially, the particles must be projected in directions making equal angles in the same sense with their distances fr...om 0, with velocities proportional to those distances.
408. The two arrangements. To determine how three particles must be arranged so that the force on any one may pass through the common centre of gravity ; the law of force being the inverse fcth power of the distance.
It is evident that the condition is satisfied when the three particles are arranged in a straight line. We have now to enquire if any other arrangement is possible.
It is a known theorem in attraction that if two given particles of masses M, m attract a third m', placed at distances p, r from them, with accelerating forces Mp, mr } the resultant passes through ART.
What to read after A Treatise On Dynamics of a Particle With Numerous Examples?
You can find similar books in the "Read Also" column, or choose other free books by Edward John Routh to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
The motion of some one particle, say m^, is determined by the two polar equations of that particle.
The result is, that if the particles move so as to be always at the corners of a similar figure, that figure must be such that the resultant accelerating forces on the particles act towards the common centre of gravity and are proportional to the distances from 0. This being true initially, the particles must be projected in directions making equal angles in the same sense with their distances fr...om 0, with velocities proportional to those distances.
408. The two arrangements. To determine how three particles must be arranged so that the force on any one may pass through the common centre of gravity ; the law of force being the inverse fcth power of the distance.
It is evident that the condition is satisfied when the three particles are arranged in a straight line. We have now to enquire if any other arrangement is possible.
It is a known theorem in attraction that if two given particles of masses M, m attract a third m', placed at distances p, r from them, with accelerating forces Mp, mr } the resultant passes through ART.
What to read after A Treatise On Dynamics of a Particle With Numerous Examples?
You can find similar books in the "Read Also" column, or choose other free books by Edward John Routh to read onlineMoreLess
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