Where will the centre of mass be located when | vedclass

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

Question

(B) The position of the centre of mass $(R_{cm})$ for a two-particle system is given by the formula $R_{cm} = \frac{m_1r_1 + m_2r_2}{m_1 + m_2}$.For t

Vedclass · Accepted Answer

Towards $M$

Vedclass · Answer

(B) The position of the centre of mass $(R_{cm})$ for a two-particle system is given by the formula $R_{cm} = \frac{m_1r_1 + m_2r_2}{m_1 + m_2}$.For two masses $m$ and $M$ separated by a distance $d$,the centre of mass lies on the line joining them.Specifically,the distance of the centre of mass from the mass $M$ is $r_M = \frac{m \cdot d}{M + m}$ and from the mass $m$ is $r_m = \frac{M \cdot d}{M + m}$.Since $M > m$,it follows that $r_M Therefore,the centre of mass is always located closer to the heavier mass,which is $M$.

Where will the centre of mass be located when combining two masses $m$ and $M$ $(M > m)$?

Similar Questions

Write the difference between the centre of gravity and the centre of mass of a body.

If two bodies of masses $2 \,kg$ and $3 \,kg$ are moving at right angles with velocities $20 \,m \,s^{-1}$ and $10 \,m \,s^{-1}$ respectively, then the velocity of the centre of mass of the system of the two bodies is

The coordinates of the center of mass of a uniform flag-shaped lamina (thin flat plate) of mass $4 \; kg$ (the coordinates of the same are shown in the figure) are:

On what does the position of the center of mass of a rigid body depend?

In the case of a system of two particles of different masses,the centre of mass lies

Vedclass Test Series

Exam Paper Generator

Online Exam Module