In the diagram shown below, m1 and m2 are the masses of two particles and x1 and x2 are the respective distances from the origin O. The centre of mass of the system is

Question

In the diagram shown below, m1 and m2 are the masses of two particles and x1 and x2 are the respective distances from the origin O. The centre of mass of the system is <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/0d47b9301e817eac04f673008b16beaa-.png" /> (A)  (m1x2+m2x1/m1+m2)  (B)  (m1+x2/2)  (C)  (m1x1+m2x2/m1+m2)  (D)  (m1m2+x1x2/m1+m2)

Tardigrade Admin · Accepted Answer

The centre of mass of the system r=(m1x1+m2x2/m1+m2)

Q. In the diagram shown below, $m_{1}$ and $m_{2}$ are the masses of two particles and $x_{1}$ and $x_{2}$ are the respective distances from the origin $O$ . The centre of mass of the system is

$\frac{m _{1} x _{2} + m _{2} x _{1}}{m _{1} + m _{2}}$

$\frac{m _{1} + x _{2}}{2}$

$\frac{m _{1} x _{1} + m _{2} x _{2}}{m _{1} + m _{2}}$

$\frac{m _{1} m _{2} + x _{1} x _{2}}{m _{1} + m _{2}}$

The centre of mass of the system
$r = \frac{m _{1} x _{1} + m _{2} x _{2}}{m _{1} + m _{2}}$

Q. In the diagram shown below, m1​ and m2​ are the masses of two particles and x1​ and x2​ are the respective distances from the origin O. The centre of mass of the system is

m1​+m2​m1​x2​+m2​x1​​

2m1​+x2​​

m1​+m2​m1​x1​+m2​x2​​

m1​+m2​m1​m2​+x1​x2​​