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A uniform half metre rule can be balanced at the 29.0 cm mark when a mass 20g is hung from its one end.
Find the mass of the half metre rule.
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Let the weight of the half metre rule be x gf and it acts at the 25 cm mark (centre of gravity).
Now,
★ Acticlockwise moment = x * 4
★ Clockwise moment = 20 * 21
In equilibrium,
Anticlockwise moment = Clockwise moment
=> 4x = 20*21
=> x = 105 gf.
Thus, the weight of the metre rule is 105 gf.
★ We know, one gf is the force acting on the body of mass 1 grams, thus mass of the body is 105 grams.
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