Question

Three identicle particle each of mass 1 kg are placed with their centres on a straight line. Their centres are marked A, B and C respectively. The distance of centre of mass of the system from A is.

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

Three identicle particle each of mass 1 kg are placed with their centres on a straight line. Their centres are marked A, B and C respectively. The distance of centre of mass of the system from A is.

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Three identicle particle each of mass 1 kg are placed with their centres on a straight line.

• Their centres are marked A, B and C

$\large\underline{\underline{\sf To\:Find:}}$

• The distance of centre of mass of the system from A is.

Centre of mass

❏$\large{\boxed{\bf \blue{X_{com}=\dfrac{m_1x_1+m_2x_2+m_3x_3}{m_1+m_2+m_3}} }}$

$\implies{\sf X_{com}=\dfrac{1×0+1×(AB)+1×(AC)}{1×1×1} }$

$\implies{\bf \red{ X_{com}=AB+AC}}$

$\huge\underline{\underline{\bf \orange{Answer-}}}$

Distance of centre of mass of the system from A is ${\bf \red{AB+AC}}$.