Question 313: Centre of Mass and Rotational Motion

Question

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

Accepted Answer

The center of mass for a system of two particles with masses $m_1$ and $m_2$, positioned at coordinates $x_1$ and $x_2$ respectively, is given by the formula:
$$ x_{	ext{cm}} = \frac{m_1 x_1 + m_2 x_2}{m_1 + m_2} $$
This clearly indicates that the center of mass resides on the line joining the two particles, but not necessarily at the midpoint unless the masses are equal. Therefore, if $m_1 
eq m_2$, the center of mass will be closer to the particle with the larger mass.
Option B
: on the line joining the two particles.

Answer

at the mid-point of line joining the two particles.

Answer

on the line joining the two particles.

Answer

at one end of the line joining the two particles.

Answer

on the line perpendicular to the line joining the two particles.

Centre of Mass and Rotational Motion

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

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