To find the centre of mass of rigid body why it is not possible to know$\sum {{m_i}\overrightarrow {{r_i}} } $ for all the particles ?
Two objects of mass $10\,kg$ and $20\,kg$ respectively are connected to the two ends of a rigid rod of length $10\,m$ with negligible mass. The distance of the center of mass of the system from the $10\,kg$ mass is :
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 angle triangle with mutually perpendicular sides equal to $2 \;m$ (see figure). Taking the point of intersection of the two mutually perpendicular sides as the origin, find the position vector of centre of mass.
Find the centre of mass of three particles at the vertices of an equilateral triangle. The masses of the particles are $100\; g , 150 \;g ,$ and $200\; g$ respectively. Each side of the equilateral triangle is $0.5\; m$ long.