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## Homework Statement

A complex or irregular body with some mass, m. How to determine the 3 co-ordinates of centre of gravity?

## Homework Equations

Moment method with ∑M = 0.

## The Attempt at a Solution

Say I have a gearbox and I need to find the COG. I can mount the gearbox at two longitudinal ends and find one co-ordinate of COG through force acting in one end and entire weight of body acting at some distance in between, through moment method. I can then mount it upside down with the clutch part on the bottom and repeat the procedure. This way I can take the intersection of the two planes of probable COG and get a line at the intersection. But to find the 3rd co-ordinate is proving difficult. Is there any way to find the 3rd co-ordinate or any other totally different way to find all the 3 co-ordinates? Please help people. Thanks in advance!

P.S - I thought of mounting in another direction to get the third intersection too, but the mounting gets difficult. So for the gearbox or any other irregular body in general would be rather helpful. :)