An object comprises of $a$ uniform ring of radius $R$ and its uniform chord $AB$ (not necessarily made of the same material) as shown. Which of the following can not be the centre of mass of the object
$(R/3, R/3)$
$(R/3, R/2)$
$(R/ \sqrt 2 , R \sqrt 2)$
both $(B)$ and $(C)$
Two point masses $m$ and $M$ are separated by a distance $L$. The distance of the centre of mass of the system from m is
A circular plate of uniform thickness of diameter $56\, cm$, whose center is at origin. A circular part of diameter $42\, cm$ is removed from one edge. What is the distance of the centre of mass of the remaining part ........ $cm.$
A spherical hollow is made in a lead sphere of radius $R,$ such that its surface touches the outside surface of lead sphere and passes through the centre. What is the shift in the centre of mass of lead sphere due to the following ?
What are the position of centre of mass of symmetrical and homogeneous bodies?
The centre of gravity of a body on the earth coincides with its centre of mass for a small object whereas for an extended object it may not. What is the qualitative meaning of small and extended in this regard ? For which of the following two coincides ? A building, a pond, a lake, a mountain ?