A thin bar of length L has a mass per unit length, that increases linearly with distance from one end.If its total mass is M and its mass per unit length at the lighter end is , then the distance of the centre of mass from the lighter end is :
As we have learned
Centre of Mass of a continuous Distribution -
- wherein
dm is mass of small element. x, y, z are coordinates of dm part.
k is some constant
Total mass =
From equation (1)
Option 1)
Option 2)
Option 3)
Option 4)
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