An Introdution to Natural Philosophy Designed As a Text book for the Use of Stu
An Introdution to Natural Philosophy Designed As a Text book for the Use of Stu
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In our eReader you can find the full English version of the book. Read An Introdution to Natural Philosophy Designed As a Text book for the Use of Stu 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 An Introdution to Natural Philosophy Designed As a Text book for the Use of Stu
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To quickly assess the difficulty of the text, read a short excerpt:
THE ROPE MACHINE.
79 because its theory is very simple, and because it is used far more extensively than any other forms.
If the two portions of rope which sustain the weight are inclined, as in Fig. 86, then W is no longer equal to the sum of their tensions, as it is in the pulley, but is always less than FlG - 86 - that, according to the follow- f fi, ing law : The power is to the iveight as the sine of -J- the angle is to the sine of the whole angle be- tween the parts of the rope.
Put A E B... 2 a ; then FED a, and since sin B E W = sin B ED = sin a, we shall have (Art. 44) P : W : : sin a : sin 2 a.
If in Fig. 87, the end of the cord, instead of being attached to the beam, is carried over another fixed pulley, and a weight equal to P is hung upon it, the equilibrium will be preserved, because all parts of the rope have a tension equal to P\ therefore, as before, P : W :: sin a : sin 2 a.
123. Change in the Ratio of Power and Weight. If P is given, all the possible values of W are included between W = 0, and W = 2 P.
What to read after An Introdution to Natural Philosophy Designed As a Text book for the Use of Stu?
You can find similar books in the "Read Also" column, or choose other free books by Denison Olmsted to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
THE ROPE MACHINE.
79 because its theory is very simple, and because it is used far more extensively than any other forms.
If the two portions of rope which sustain the weight are inclined, as in Fig. 86, then W is no longer equal to the sum of their tensions, as it is in the pulley, but is always less than FlG - 86 - that, according to the follow- f fi, ing law : The power is to the iveight as the sine of -J- the angle is to the sine of the whole angle be- tween the parts of the rope.
Put A E B... 2 a ; then FED a, and since sin B E W = sin B ED = sin a, we shall have (Art. 44) P : W : : sin a : sin 2 a.
If in Fig. 87, the end of the cord, instead of being attached to the beam, is carried over another fixed pulley, and a weight equal to P is hung upon it, the equilibrium will be preserved, because all parts of the rope have a tension equal to P\ therefore, as before, P : W :: sin a : sin 2 a.
123. Change in the Ratio of Power and Weight. If P is given, all the possible values of W are included between W = 0, and W = 2 P.
What to read after An Introdution to Natural Philosophy Designed As a Text book for the Use of Stu?
You can find similar books in the "Read Also" column, or choose other free books by Denison Olmsted to read onlineMoreLess
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