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  4. 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

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Q. 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

WBJEEWBJEE 2008System of Particles and Rotational Motion

Solution:

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Taking the moment of forces about centre of gravity $G$ is
$(1.5)gx =2.5\, g(16-x)$
$\Rightarrow 3 x=80-5 x$
or $8 x=80$ or $x=10\, cm$