From a circular disc of radius $R$, a square is cut out with a radius as its diagonal. The center of mass of remainder part is at a distance (from the centre)
$\frac{R}{{(4\pi - 2)}}$
$\frac{R}{{2\pi }}$
$\frac{R}{{(\pi - 2)}}$
$\frac{R}{{(2\pi - 2)}}$
Obtain the general expression of centre of mass for distributed $n$ particles of system in three dimension.
For a body, centre of volume is defined as $\frac{{\int {r.dV} }}{{\int {dV} }}$ over complete body, where $dV$ is small volume of body and $\vec r$ is. position vector of that small volume from origin
A square shaped hole of side $l=\frac{a}{2}$ is carved out at a distance $d =\frac{ a }{2}$ from the centre $'O'$ of a uniform circular disk of radius $a$. If the distance of the centre of mass of the remaining portion from $O$ is $-\frac{a}{X},$ value of $X$ (to the nearest integer) is.......
The centre of mass of a body