The centre of mass of a system of two particl | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) For a system of two particles with masses $m_1$ and $m_2$ located at distances $r_1$ and $r_2$ from their centre of mass,the condition for the cen

Vedclass · Accepted Answer

in inverse ratio of masses of particles

Vedclass · Answer

(C) For a system of two particles with masses $m_1$ and $m_2$ located at distances $r_1$ and $r_2$ from their centre of mass,the condition for the centre of mass is given by $m_1 r_1 = m_2 r_2$.Rearranging this equation,we get $\frac{r_1}{r_2} = \frac{m_2}{m_1}$.This shows that the ratio of the distances of the particles from the centre of mass is inversely proportional to the ratio of their masses.Therefore,the centre of mass divides the distance between the two particles in the inverse ratio of their masses.

The centre of mass of a system of two particles divides the distance between them

Similar Questions

Find the centre of mass of a uniform $L$-shaped lamina (a thin flat plate) with dimensions as shown. The mass of the lamina is $3 \; kg$.

The coordinates of the center of mass of the triangular lamina shown in the figure are ....... .

The centre of mass of an extended body on the surface of the earth and its centre of gravity:

Find the $x$ coordinate of the centre of mass of the books shown in the figure. Every book has mass $m$.

The position vectors of two particles of masses $1 \ kg$ and $3 \ kg$ are $\hat{i} + 2\hat{j} + \hat{k}$ and $-3\hat{i} - 2\hat{j} + \hat{k}$ respectively. The position vector of the center of mass of this system is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module