Three identical spheres each of mass $M$ are placed at the corners of a right angled triangle with mutually perpendicular sides equal to $3\,m$ each. Taking point of intersection of mutually perpendicular sides as origin, the magnitude of position vector of centre of mass of the system will be $\sqrt{x} m$. The value of $x$ is
$2$
$3$
$4$
$1$
Explain the theoretical method for estimation of the centre of mass of a solid body.
Figure shows a composite system of two uniform rods of lengths as indicated. Then the coordinates of the centre of mass of the system of rods are ...........
Two particles of masses $m_1$ and $m_2$ $(m_1 > m_2)$, initially at rest, move towards each other under an inverse square law force of attraction. Pick out the correct statement about the centre of mass $(CM)$ of the system
$(n - 1)$ equal point masses each of mass $m$ are placed at the vertices of a regular $n-$ polygon. The vacant vertex has a position vector $a$ with respect to the centre of the polygon. Find the position vector of centre of mass.