Elementary Introduction to Practical Mechanics: Illustrated by Numerous ExamplesLongmans, 1870 - 324 pages |
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Page 111
... circle is at its centre . Since any diameter bisects all lines in the circle drawn perpendicularly to it , the centre of gravity must be in any CENTRE OF GRAVITY . 111.
... circle is at its centre . Since any diameter bisects all lines in the circle drawn perpendicularly to it , the centre of gravity must be in any CENTRE OF GRAVITY . 111.
Page 112
... circle . Ex . 273. Show that the centre of gravity of an ellipse must be at its centre . Ex . 274. Determine the centre of gravity of a triangle . FIG . 71 . A K L H E G B D C Let ABC be any triangle , bisect BC in D and join A D ; draw ...
... circle . Ex . 273. Show that the centre of gravity of an ellipse must be at its centre . Ex . 274. Determine the centre of gravity of a triangle . FIG . 71 . A K L H E G B D C Let ABC be any triangle , bisect BC in D and join A D ; draw ...
Page 115
... circle inscribed in the triangle formed by joining the middle points of the original triangle . 68. Remark . The following examples of the determi- nation of centres of gravity are similar to those contained in the former article , but ...
... circle inscribed in the triangle formed by joining the middle points of the original triangle . 68. Remark . The following examples of the determi- nation of centres of gravity are similar to those contained in the former article , but ...
Page 127
... circle has a radius a , and whose centre is at a distance b from the axis of revolution . Ans . ( 1 ) 3πδα2 √3 . ( 2 ) 12παδ . Ex . 328. Find the centre of gravity of the arc of a semicircle . Ans . Distance from centre == diam . π Ex ...
... circle has a radius a , and whose centre is at a distance b from the axis of revolution . Ans . ( 1 ) 3πδα2 √3 . ( 2 ) 12παδ . Ex . 328. Find the centre of gravity of the arc of a semicircle . Ans . Distance from centre == diam . π Ex ...
Page 128
... circle whose centres are respectively A , B , C , D. So that the ditch has a uniform width of 24 ft . , its depth is 9 ft . , the inside slope is 3 in 1 and the outside 1 in 1 . Find the volume of the ditch . Ans . 108,057 cub . ft ...
... circle whose centres are respectively A , B , C , D. So that the ditch has a uniform width of 24 ft . , its depth is 9 ft . , the inside slope is 3 in 1 and the outside 1 in 1 . Find the volume of the ditch . Ans . 108,057 cub . ft ...
Common terms and phrases
ABCD angle of resistance angular angular velocity axis axle beam body brickwork cast iron centre of gravity circle circumference coefficient of friction Crown 8vo cubic foot curve cylinder described determine the number diameter direction distance draw Edition engine epicycloid equal equation equilibrium expended extrados forces acting formula friction frustum given hence horizontal horse-power inclined inclined plane last Example length limiting angle magnitude mass middle point minute modulus moment of inertia motion moving number of units oscillation P₁ parallel forces passing perpendicular plane pressure principle principle of moments Prop pulley R₁ radius raised reaction represent respectively rest resultant right angles rope round screw sliding space square inch steam suppose surface teeth thick thread tion triangle vertical vols wall weight wheel Woodcuts wrought iron
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