A point object of mass $m$ is kept at $(a, 0)$ along $x$-axis. What mass should be kept at $(-3 a, 0)$, so that centre of mass lies at origin?
$m$
$2 m$
$\frac{m}{3}$
$3 m$
Two particle of masses $1\,kg$ and $3\,kg$ have position vector $2\hat i + 3\hat j + 4\hat k$ and $ - 2\hat i + 3\hat j - 4\hat k$ respectively. The centre of mass has a position vector
Three identical spheres, each of mass $1\ kg$ are placed touching each other with their centres on a straight line. Their centres are marked $K, L$ and $M$ respectively. The distance of centre of mass of the system from $K$ is
If the linear density of a rod of length $3m$ varies as $\lambda = 2 + x$, then the position of centre of gravity of the rod is :
Define centre of mass.
In the $HCl$ molecule, the separation between the nuclet of the two atoms is about $1.27 \;\mathring A\left(1\; \mathring A=10^{-10} \;m \right) .$ Find the approximate location of the $CM$ of the molecule. given that a chlorine atom is about $35.5$ times as massive as a hydrogen atom and nearly all the mass of an atom is concentrated in its nucleus.