Hand-Books of Natural Philosophy And Astronomy
Hand-Books of Natural Philosophy And Astronomy
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In our eReader you can find the full English version of the book. Read Hand-Books of Natural Philosophy And Astronomy 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 Hand-Books of Natural Philosophy And Astronomy
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To quickly assess the difficulty of the text, read a short excerpt:
2 + tt7. J a 2 w. flf + a. tt?
pa i- — __ 2 a sm ^ and if tension is given — 8ind-^-^^ii±?^.
2ap (fi) To find the pressure on the hinge. Let G^ be the centre of gravity of weight w, and weight w of bar a b. Let b Cj = c.
Oj y is the direction and magnitude of this pressure if 0^ n «w + w.
To find L A B Oi we have because AabD'^AaGjOi GjOi : AGi :: BD : AB CiOi : a—c :: h : a.\G^o^^ ^^""^^ ; B Ci a c To find the magnitude of Oj y we have — bo, = >/bCi« + OiCi« = ^c« + (^-y^' «i\/a«c» + (a-c)»/i»...; but the triangle o^ b d is similar to A o^ y e, .'.Oiy : ey :: OjB : bd Digitized by Google 1 86 FORCE AND MOTION.
.•.Oiy = (w + M?). -\^a»c» + (a-c)«/i» W + 1;0 (7) A smooth beam rests upon a prop 0, in fig. 138, and the extremity rests against a wall e p ; the prpp is i foot from the wall. How long must the beam be, to rest at an angle of 30° •to the vertical ?
Fig. 138.
The resistance of the wall acts in the direction e m ; that of the prop in the direction L n. Hence, the weight of the beam acting along G l, the point a must be perpendicular above £.
What to read after Hand-Books of Natural Philosophy And Astronomy?
You can find similar books in the "Read Also" column, or choose other free books by Dionysius Lardner to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
2 + tt7. J a 2 w. flf + a. tt?
pa i- — __ 2 a sm ^ and if tension is given — 8ind-^-^^ii±?^.
2ap (fi) To find the pressure on the hinge. Let G^ be the centre of gravity of weight w, and weight w of bar a b. Let b Cj = c.
Oj y is the direction and magnitude of this pressure if 0^ n «w + w.
To find L A B Oi we have because AabD'^AaGjOi GjOi : AGi :: BD : AB CiOi : a—c :: h : a.\G^o^^ ^^""^^ ; B Ci a c To find the magnitude of Oj y we have — bo, = >/bCi« + OiCi« = ^c« + (^-y^' «i\/a«c» + (a-c)»/i»...; but the triangle o^ b d is similar to A o^ y e, .'.Oiy : ey :: OjB : bd Digitized by Google 1 86 FORCE AND MOTION.
.•.Oiy = (w + M?). -\^a»c» + (a-c)«/i» W + 1;0 (7) A smooth beam rests upon a prop 0, in fig. 138, and the extremity rests against a wall e p ; the prpp is i foot from the wall. How long must the beam be, to rest at an angle of 30° •to the vertical ?
Fig. 138.
The resistance of the wall acts in the direction e m ; that of the prop in the direction L n. Hence, the weight of the beam acting along G l, the point a must be perpendicular above £.
What to read after Hand-Books of Natural Philosophy And Astronomy?
You can find similar books in the "Read Also" column, or choose other free books by Dionysius Lardner to read onlineMoreLess
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