A Treatise on Hydromechanics, Part 1 |
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Page 77
... curvature at the vertex , H , of this parabola is ja , which is less than HG . Hence it will be seen that three normals can be drawn to the curve of buoyancy , giving the three positions of equili- brium . 58. If the body be a lamina ...
... curvature at the vertex , H , of this parabola is ja , which is less than HG . Hence it will be seen that three normals can be drawn to the curve of buoyancy , giving the three positions of equili- brium . 58. If the body be a lamina ...
Page 92
... curvature of the curve of buoyancy at the point in the same vertical line with G. This is at once obvious from the fact that the point M is the point of intersection of consecutive normals to the curve . Hence it appears that for any ...
... curvature of the curve of buoyancy at the point in the same vertical line with G. This is at once obvious from the fact that the point M is the point of intersection of consecutive normals to the curve . Hence it appears that for any ...
Page 93
... curvature at H , H'L = H'M.0 = HM.0 , .. V. HM = k2A . The restorative moment , for a small displacement 0 , - = gp ... curvature of the normal section of the surface . The radius of curvature of any normal section at H METACENTRE . 93.
... curvature at H , H'L = H'M.0 = HM.0 , .. V. HM = k2A . The restorative moment , for a small displacement 0 , - = gp ... curvature of the normal section of the surface . The radius of curvature of any normal section at H METACENTRE . 93.
Page 94
... curvature , at H , of the surface of buoyancy are I and I ' V V ' and the principal sections are parallel to the principal axes of the plane of floatation . 72. A most important case naturally presents itself ; that is , the question of ...
... curvature , at H , of the surface of buoyancy are I and I ' V V ' and the principal sections are parallel to the principal axes of the plane of floatation . 72. A most important case naturally presents itself ; that is , the question of ...
Page 96
... curvature of a transverse section , 2A , of the surface of floatation is r = Sy2 tan ads A ds being an element of the perimeter of the water - section , and a the inclination of the side of the ship to the vertical . To prove this , let ...
... curvature of a transverse section , 2A , of the surface of floatation is r = Sy2 tan ads A ds being an element of the perimeter of the water - section , and a the inclination of the side of the ship to the vertical . To prove this , let ...
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Common terms and phrases
2nd edition 3rd edition 4th edition Aeneid angular velocity axis vertical body Books Camb Cambridge catenary catenoid centre of gravity centre of pressure cone constant cos² Crown 8vo curvature cylinder Demy 8vo density depth distance dx dy dy dx elastic English equal pressure equation equilibrium equilibrium is stable F. A. PALEY Fcap floats fluid pressure force free surface given horizontal immersed J. H. FREESE John's College lamina latus rectum LL.D mass mercury metacentre obtain paraboloid particle perpendicular plane of floatation position of equilibrium prove quantity radius resultant pressure revised revolution rotation sewed shew Small post 8vo solid solid of revolution spherical spheroid surface of revolution surfaces of equal tangent temperature Texts Translated Trinity College vertex vessel vols volume weight whole pressure
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