In carbon monoxide molecules, the carbon and the oxygen atoms are separated by distance $1.2 \,\mathring A$. The distance of the centre of mass, from the carbon atom is ........  $\mathring A$

Write the expression of centre of mass of a system of $'n'$ particles and derive the formula of force acting on its centre of mass. 

Infinite rods of uniform mass density and length $L, L/2, L/4....$ are placed one upon another upto infinite as shown in figure. Find the $x-$ coordinate of centre of mass

Obtain an expression for the position vector of centre of mass of a system n particles in two dimension. 

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

A uniform square plate abcd has a mass of $1 \,kg$. If two point masses each of $20 \,g$ are placed at the corners $b$ and $c$ as shown, then the centre of mass shifts on the line