A Treatise On the Analytical Dynamics of Particles And Rigid Bodies; With An Introduction to the Problem of Three Bodies
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In our eReader you can find the full English version of the book. Read A Treatise On the Analytical Dynamics of Particles And Rigid Bodies; With An Introduction to the Problem of Three Bodies 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 the Analytical Dynamics of Particles And Rigid Bodies; With An Introduction to the Problem of Three Bodies
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(Camb. Math. Tripos, Part I, 1900.) 17. In the vertical motion of a heavy particle descending in a medium whose resistance varies as the square of the velocity, shew that the quantity -ka. kB e +e ', where kv 2 is the resistance, and a and /3 are the distances described in two successive equal intervals r of time, depends only on t and is independent of the initial velocity.
(Coll. Exam.) W. D. 16 242 Non-holonomic Systems. Dissipative Systems [ch.
18. Prove that a heavy particle, let fall from... rest in a medium in which the resistance varies as the square of the velocity, will acquire a velocity Uta.nh(gt/U), and describe a space U 2 log cosh (gtjU)lg in a time t, where U denotes the terminal velocity in the medium.
Shew also that, for the complete trajectory of a projectile in such a medium, the angle 8 between the asymptotes is given by U 2 I F 2 =arcsinh cot 8 + oot8 cosec 6, where Fis the velocity when the projectile moves horizontally. (Coll. Exam.) 19. Shew that the horizontal and vertical coordinates (x, y) of a particle moving under gravity in a medium of which the resistance is R satisfy the equation &y , igR _^ Q difi «* cos 3 ' v being the velocity and the inclination of the tangent to the horizontal.
What to read after A Treatise On the Analytical Dynamics of Particles And Rigid Bodies; With An Introduction to the Problem of Three Bodies?
You can find similar books in the "Read Also" column, or choose other free books by Whittaker, E. T. (Edmund Taylor), 1873-1956 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
(Camb. Math. Tripos, Part I, 1900.) 17. In the vertical motion of a heavy particle descending in a medium whose resistance varies as the square of the velocity, shew that the quantity -ka. kB e +e ', where kv 2 is the resistance, and a and /3 are the distances described in two successive equal intervals r of time, depends only on t and is independent of the initial velocity.
(Coll. Exam.) W. D. 16 242 Non-holonomic Systems. Dissipative Systems [ch.
18. Prove that a heavy particle, let fall from... rest in a medium in which the resistance varies as the square of the velocity, will acquire a velocity Uta.nh(gt/U), and describe a space U 2 log cosh (gtjU)lg in a time t, where U denotes the terminal velocity in the medium.
Shew also that, for the complete trajectory of a projectile in such a medium, the angle 8 between the asymptotes is given by U 2 I F 2 =arcsinh cot 8 + oot8 cosec 6, where Fis the velocity when the projectile moves horizontally. (Coll. Exam.) 19. Shew that the horizontal and vertical coordinates (x, y) of a particle moving under gravity in a medium of which the resistance is R satisfy the equation &y , igR _^ Q difi «* cos 3
What to read after A Treatise On the Analytical Dynamics of Particles And Rigid Bodies; With An Introduction to the Problem of Three Bodies?
You can find similar books in the "Read Also" column, or choose other free books by Whittaker, E. T. (Edmund Taylor), 1873-1956 to read onlineMoreLess
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