From a uniform square plate, one-fourth part is removed as shown. The centre of mass of remaining part will lie on
$O C$
$O A$
$O B$
$O D$
In the figure shown a hole of radius $2\, cm$ is made in a semicircular disc of radius $6\pi$ at a distance $8 \,cm$ from the centre $C$ of the disc. The distance of the centre of mass of this system from point $C$ is ......... $cm$.
Seven identical homogeneous bricks, each of length $L$ , are arranged as shown in figure. Each brick is displaced with respect to the one in contacts by $\frac{L}{{10}}$ . Calculate the $x$-co-ordinate of the centre of mass of this system relative to the origin $O$ as shown
$A$ man weighing $80\, kg$ is standing at the centre of a flat boat and he is $20\, m$ from the shore. He walks $8\, m$ on the boat towards the shore and then halts. The boat weight $200\, kg$. ........ $m$ far is he from the shore at the end of this time.
The $x, y$ coordinates of the centre of mass of a uniform $L-$ shaped lamina of mass $3\, kg$ is
Figure shows a composite system of two uniform rods of lengths as indicated. Then the coordinates of the centre of mass of the system of rods are ...........