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Centroids of Lines

Fig. 6.4 shows a wire of length L having cross sectional area A and uniform density p.

We can take ‘dL length to find d m as

dm  = Pa dL

From equation (6.2), we have

x = ʃ x dL / L , y = ʃ y dL / L , z = ʃ z dL / L

Note that for a curved line C may not lie on the line, where C is the centroid.