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" A ball is projected in a given direction within a fixed horizontal hoop, so as to go on rebounding from the surface of the hoop ; find the limit to which the velocity will approach, and shew that it attains this limit in a finite time, e being less than... "
Mechanics for Beginners: With Numerous Examples - Σελίδα 290
των Isaac Todhunter - 1867 - 350 σελίδες
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - 196 σελίδες
...and find the velocity of the nth ball after its impact with the (nl)th. 16. An imperfectly elastic ball is projected in a given direction within a fixed...as to go on rebounding from the surface of the hoop ; find the limit to which the velocity of the ball will approach ; and shew that it will attain this...

Elementary Mechanics ... Part I [- II].

Harvey Goodwin (Bishop of Carlisle.) - 1851 - 414 σελίδες
...velocity of the n,b ball after the n — 1 |'h has impinged upon it. XXVIII. A ball of given elasticity is projected in a given direction ^within a fixed horizontal hoop, so as to rebound from the surface of the hoop ; find the velocity after any number of rebounds ; shew also that...

A Collection of Problems in Illustration of the Principles of Elementary ...

William Walton - 1858 - 294 σελίδες
...may be possible, it is necessary that n be less than 2 and greater than V2(2) An imperfectly elastic ball is projected in a given direction within a fixed...as to go on rebounding from the surface of the hoop : to find the limit to which the velocity of the ball will approach ; and to shew that it will attain...

A treatise on the dynamics of a particle, by P.G. Tait and W.J. Steele

Peter Guthrie Tait - 1865 - 394 σελίδες
...nth ball after its impact with the (n - l)th. J15) A ball is projected in a given direction within a horizontal hoop, so as to go on rebounding from the surface of the hoop ; find the limit to which the velocity will approach, and shew that it attains this limit in a finite...

Mechanics for beginners

Isaac Todhunter - 1867 - 368 σελίδες
...recta of the parabolic arcs described form a geometrical progression having the common ratio e 2 . 18. A body slides down a smooth inclined plane of...progression. XL Motion of the Centre of Gravity of ttco or more bodies. 125. We have explained in the Statics what is meant by the centre of gravity of...

A Treatise on the Dynamics of a Particle: With Numerous Examples

Peter Guthrie Tait, William John Steele - 1871 - 462 σελίδες
...impinging on the next ; and find the velocity of the nih ball after its impact with the (n - l)th. (15) A ball is projected in a given direction within a...as to go on rebounding from the surface of the hoop ; find the limit to which the velocity will approach, and shew that it attains this limit in a finite...

A treatise on the dynamics of a particle, by P.G. Tait and W.J. Steele

Peter Guthrie Tait - 1878 - 480 σελίδες
...the original apsidal distance, the particles fall into the center of attraction after the time (16) A ball is projected in a given direction within a...as to go on rebounding from the surface of the hoop ; find the limit to which the velocity will approach, and shew that it attains this limit in a finite...




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