Figure I below shows a uniform lanmina in the form of right angled triangle OAB with right angle at O. where OA = 4a and OB = 6a The portion OrQ which is a sector of a cirele of radius a, is cut off from the triangle. A За Figure 1 P a B 5a (i) Show by integration that the centre of gravity of the uniform lamina in the form of the sector OPO is at 4a from the bounding radii. 37 distance

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Figure I below shows a uniform lamina in the form of right angled triangle OAB with right angle at O, where
OA = 4a and OB = 6a The portion OPO which is a sector of a cirele of radius a, is cut off from the triangle.
5.
A
За
Figure 1
P
a
B
5a
(i)
Show by integration that the centre of gravity of the uniform lamina in the form of the sector OP) is at
4a
distance
from the bounding radii.
The sector OPO is removed from the lamina.
(1) Find the centroid of the remaining lamina-from OA and from OB.
Transcribed Image Text:Figure I below shows a uniform lamina in the form of right angled triangle OAB with right angle at O, where OA = 4a and OB = 6a The portion OPO which is a sector of a cirele of radius a, is cut off from the triangle. 5. A За Figure 1 P a B 5a (i) Show by integration that the centre of gravity of the uniform lamina in the form of the sector OP) is at 4a distance from the bounding radii. The sector OPO is removed from the lamina. (1) Find the centroid of the remaining lamina-from OA and from OB.
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