The position of the centre of mass of a uniform semi-circular wire of radius $'R'$ placed in $x-y$ plane with its centre at the origin and the line joining its ends as $x$-axis is given by $\left(0, \frac{x R}{\pi}\right)$.
Then, the value of $|x|$ is ...... .
$2$
$4$
$36$
$8$
A uniform disc of radius $R$ is put over another uniform disc of radius $2R$ made of same material having same thickness.The peripheries of the two discs touches each other.Locate the centre of mass of the system taking center center of large disc at origin
In a system two particles of masses $m_1=3 \mathrm{~kg}$ and $\mathrm{m}_2=2 \mathrm{~kg}$ are placed at certain distance from each other. The particle of mass $m_1$ is moved towards the center of mass of the system through a distance $2 \mathrm{~cm}$. In order to keep the center of mass of the system at the original position, the particle of mass $\mathrm{m}_2$ should move towards the center of mass by the distance_______.$\mathrm{cm}$.
A rigid body can be hinged about any point on the $x$ -axis. When it is hinged such that the hinge is at $x$, the moment of inertia is given by $I = 2x^2 - 12x + 27$ The $x$ -coordinate of centre of mass is