The Elements of Statics And Dynamics
The Elements of Statics And Dynamics
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In our eReader you can find the full English version of the book. Read The Elements of Statics And Dynamics 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 The Elements of Statics And Dynamics
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41. Time to a given height. The height h at which a body has arrived in time t is given by substituting g for/ in equation (2) of Art. 32, and is therefore given by h = ut- \gtf.
This is a quadratic equation with both roots positive ; the lesser root gives the time at which the body is at the given height on the way up, and the greater the time at which it is at the same height on the way down.
Thus the time that elapses before a body, which starts with a velocity of 64 feet per second, is at a... height of 28 feet is given by 28 = 64<-16 2, whence t = \ or \.
Hence the particle is at the given height in half a second from the commencement of its motion, and again in 3 seconds afterwards.
42. Velocity at a given height.
The velocity v at a given height h is, by equation (3) of Art. 32, given by v 2 = u? - Igh.
Hence the velocity at a given height is independent of the time, and is therefore the same at the same point whether the body be going upwards or downwards.
43. Greatest height attained.
What to read after The Elements of Statics And Dynamics?
You can find similar books in the "Read Also" column, or choose other free books by S L Sidney Luxton Loney to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
41. Time to a given height. The height h at which a body has arrived in time t is given by substituting g for/ in equation (2) of Art. 32, and is therefore given by h = ut- \gtf.
This is a quadratic equation with both roots positive ; the lesser root gives the time at which the body is at the given height on the way up, and the greater the time at which it is at the same height on the way down.
Thus the time that elapses before a body, which starts with a velocity of 64 feet per second, is at a... height of 28 feet is given by 28 = 64<-16 2, whence t = \ or \.
Hence the particle is at the given height in half a second from the commencement of its motion, and again in 3 seconds afterwards.
42. Velocity at a given height.
The velocity v at a given height h is, by equation (3) of Art. 32, given by v 2 = u? - Igh.
Hence the velocity at a given height is independent of the time, and is therefore the same at the same point whether the body be going upwards or downwards.
43. Greatest height attained.
What to read after The Elements of Statics And Dynamics?
You can find similar books in the "Read Also" column, or choose other free books by S L Sidney Luxton Loney to read onlineMoreLess
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