Principles of Mechanics
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In our eReader you can find the full English version of the book. Read Principles of Mechanics 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 Principles of Mechanics
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THE WORK STORED UP IN A MOVING BODY.
40. We recur now to the estimation of the amount of work stored up in a moving body, as given in page 36. It is there shown that if a body of weight w be moving with a linear velocity v, the number of foot-pounds of work stored up in it is given by the expression If a heavy particle of weight w, at a distance r^ from the centre of a circle describe a circular path with an angular velocity w, the amount of work stored up in it is ' - ' 2g The same would be tr...ue for any number of particles Wj, W3, &c., at distances ^2, r^, &c., the angular velocity w being the same for all. But we then arrive at a solid body made' up of parts, and rotating about an axis. Hence the work stored up in a solid body rotating about a fixed axis is given by the expression —. (w, ry' + W2 r^^ + W3 r^^ + &c.), The assistance of the mathematician is required for the summation of this series j at present we must be content to know the fact, and to comprehend that it is possible to no Principles of Mechanics.
What to read after Principles of Mechanics?
You can find similar books in the "Read Also" column, or choose other free books by Goodeve, T. M. (Thomas Minchin), B. 1821 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
THE WORK STORED UP IN A MOVING BODY.
40. We recur now to the estimation of the amount of work stored up in a moving body, as given in page 36. It is there shown that if a body of weight w be moving with a linear velocity v, the number of foot-pounds of work stored up in it is given by the expression If a heavy particle of weight w, at a distance r^ from the centre of a circle describe a circular path with an angular velocity w, the amount of work stored up in it is ' - ' 2g The same would be tr...ue for any number of particles Wj, W3, &c., at distances ^2, r^, &c., the angular velocity w being the same for all. But we then arrive at a solid body made' up of parts, and rotating about an axis. Hence the work stored up in a solid body rotating about a fixed axis is given by the expression —. (w, ry' + W2 r^^ + W3 r^^ + &c.), The assistance of the mathematician is required for the summation of this series j at present we must be content to know the fact, and to comprehend that it is possible to no Principles of Mechanics.
What to read after Principles of Mechanics?
You can find similar books in the "Read Also" column, or choose other free books by Goodeve, T. M. (Thomas Minchin), B. 1821 to read onlineMoreLess
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