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 - Page 290by Isaac Todhunter - 1867 - 367 pagesFull view - About this book
| Harvey Goodwin - Mathematics - 1851 - 196 pages
...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... | |
| Harvey Goodwin (Bishop of Carlisle.) - 1851 - 414 pages
...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... | |
| William Walton - Mechanics - 1858 - 294 pages
...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... | |
| Peter Guthrie Tait - 1865 - 394 pages
...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... | |
| Isaac Todhunter - Mechanics - 1867 - 372 pages
...latera recta of the parabolic arcs described form a geometrical progression having the common ratio e-. 18. A body slides down a smooth inclined plane of...progression. XL Motion of the Centre of Gravity of two or more bodies. 125. We have explained in the Statics what is meant by the centre of gravity of... | |
| Peter Guthrie Tait, William John Steele - Dynamics of a particle - 1871 - 462 pages
...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... | |
| Isaac Todhunter - Mechanics - 1878 - 442 pages
...same wall after rebounding from the other : determine the position of the focus of the first path. 24. Bodies of different elasticities slide down a smooth...former component is constant, and that the latter component diminishes hi Geometrical Progression. XL Motion of the Centre of Gravity of two or more... | |
| Peter Guthrie Tait - 1878 - 480 pages
...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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