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The Centre of Gravity of a Circular Arc

Published online by Cambridge University Press:  20 January 2009

G. E. Crawford
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To find the Centre of Gravity of a Ciroular Arc.

Let a (Fig. 12) be the radius, 2a the angle at the centre, AB the arc, of total mass m, G its centre of gravity symmetrically situated.

Imagine the arc to be part of a circle of string rotating uniformly with velocity u round C and of linear density ρ

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 16 , February 1897 , pp. 46
Copyright
Copyright © Edinburgh Mathematical Society 1897