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

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 (B) 6 cm (C) 13 cm (D) 3 cm

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/fb37c2da91fbe25c504c23554a7ef3a4-.png" /> Taking the moment of forces about centre of gravity G is (1.5)gx =2.5 g(16-x) ⇒ 3 x=80-5 x or 8 x=80 or x=10 cm

Q. Two point objects of masses $1.5 g$ and $2.5 g$ respectively are at a distance of $16 c m$ apart, the centre of gravity is at a distance $x$ from the object of mass $1.5 g$ where $x$ is

10 cm

6 cm

13 cm

3 cm

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 $x = 10 c m$

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