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Beam
The 50cm mark isn't necessarily the ruler's centre of mass where it will balance. If the ruler is not uniform (i.e. it has a hole in it) its centre of mass will not be exactly in the middle.
Metric ruler, Meterstick, Ruler,Thermometer, Weighing scale, Balance scale, Protactor.. :) JaneLizetteAguilar
A balance will give you it's mass.
The centre of balance is at the point where the medians of the triangle intersect.