Find the position of the center of mass of a system of two particles of masses $m_1$ and $m_2$ separated by a distance $L$.

Which of the points is the likely position of the centre of mass of the system shown in the figure?

Mention the position of the centre of mass of particles of equal mass.

If the linear mass density of a rod of length $L$ varies as $\lambda = kx^3$,determine the position of its centre of mass (where $x$ is the distance from one of its ends and $k$ is a constant):

Five masses are placed in a plane as shown in the figure. The coordinates of the centre of mass are nearest to:

Three identical spheres, each of mass $m$ kg, are kept touching each other, with their centers on a straight line. If their centers are marked as $A$, $B$, and $C$ respectively, the distance of the center of mass of the system from $A$ is