Principle of Elementary Mechanics

Cover Principle of Elementary Mechanics
Principle of Elementary Mechanics
De Volson Wood
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Ocs= — .
TT Digitized by Google [881,888.] OBNTBB OF GBAYITT 143 4. In Kg. 88, if the angle AOG= eo*", find the poeition of the centre of gravity of the arc ABG.
Ans. Oo = — .
w 5, Find the distance from the centre of a circle to the centre of gravity of a quarter of the circumference of the circle.
An8.0o=^2V2z: Centre of Oravity of Sv/rfaoea.
221. Definition. — A surface here means a very thin plate or shell.
5i22. The Centre of Gravity of a Plane Triangle €8 in the Une joining the vertex wit
...h the middle point of the iasey and at one-third the length of the Imefrom the Let ABC be a triangle. Consider the triangle as com- posed of an indefinitely large number of straight lines parallel to the base AB. The centre of gravity of each of these lines is at its middle point ; hence, the centre of all of them will be at some point in the line passing through their centres; which point will be the centre of grav- ity of the triangle. Let D be the mid- dle point of AB\ join (7 and 2?, then Mrill the centre of gravity of the tri- angle be in the line CD.

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