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Displacement of COM:Application

Two point obj...

Question

Two point objects of masses 1.5 g and 2.5 g respectively are at a distance of 16 cm apart, the centre of gravity is at a distance x from the object of mass 1.5 g where x is:

A

10 cm

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B

6 cm

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C

13 cm

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D

3 cm

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Solution

The correct option is A 10 cm
Taking the moment of forces about centre of Gravity G is
$(1.5) g x = 2.5 g (16 - x)$
$\Rightarrow 3 x = 80 - 5 x$ or $8 x = 80$ or $x = 10 c m$

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