Theoretical Mechanics; An Introductory Treatise On the Principles of Dynamics, With Applications And Numerous Examples
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In our eReader you can find the full English version of the book. Read Theoretical Mechanics; An Introductory Treatise On the Principles of Dynamics, With Applications And 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 Theoretical Mechanics; An Introductory Treatise On the Principles of Dynamics, With Applications And Numerous Examples
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j^ ag ^ jt g 143. A particle moves on the surface of a rough right circular cone of vertical angle 2a under no forces but the reaction of the surface. It is projected at a distance r from the vertex with velocity V perpendicular to the generator. Show that, when its path crosses a generator at angle x, the velocity is Fe-"""'"'"''', and the time to that point is ^ Pe^'»'''~"*coseo2xc«X, /* being the coefficient of friction.
144. A particle is projected vertically upwards in a medium in which th...e resistance is k (velocity)2. If u is the initial velocity and T the whole time of motion prove t'ha.t.ijk{2u/g— T) is positive and increases as k increases.
145. A particle is projected vertically upwards in a medium in which the resistance is £^ (velocity)^. Prove that, if U, V are the velocities with which the particle leaves and returns to the point of projection, 146. A particle falls from rest under gravity through a distance .» in a medium whose resistance varies as the square of the velocity ; v is the velocity acquired by the particle, V the terminal velocity, and «„ the velocity that ■would be acquired by falling through a distance x in vacuo ; prove that EXAMPLES.
What to read after Theoretical Mechanics; An Introductory Treatise On the Principles of Dynamics, With Applications And Numerous Examples?
You can find similar books in the "Read Also" column, or choose other free books by Love, A. E. H. (Augustus Edward Hough), 1863-1940 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
j^ ag ^ jt g 143. A particle moves on the surface of a rough right circular cone of vertical angle 2a under no forces but the reaction of the surface. It is projected at a distance r from the vertex with velocity V perpendicular to the generator. Show that, when its path crosses a generator at angle x, the velocity is Fe-"""'"'"''', and the time to that point is ^ Pe^'»'''~"*coseo2xc«X, /* being the coefficient of friction.
144. A particle is projected vertically upwards in a medium in which th...e resistance is k (velocity)2. If u is the initial velocity and T the whole time of motion prove t'ha.t.ijk{2u/g— T) is positive and increases as k increases.
145. A particle is projected vertically upwards in a medium in which the resistance is £^ (velocity)^. Prove that, if U, V are the velocities with which the particle leaves and returns to the point of projection, 146. A particle falls from rest under gravity through a distance .» in a medium whose resistance varies as the square of the velocity ; v is the velocity acquired by the particle, V the terminal velocity, and «„ the velocity that ■would be acquired by falling through a distance x in vacuo ; prove that EXAMPLES.
What to read after Theoretical Mechanics; An Introductory Treatise On the Principles of Dynamics, With Applications And Numerous Examples?
You can find similar books in the "Read Also" column, or choose other free books by Love, A. E. H. (Augustus Edward Hough), 1863-1940 to read onlineMoreLess
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