Question

Where does the center of mass of a rectangle lie?

Answer 1

Hint: A location specified relative to an object or system of objects is called the centre of mass. It is the average location of all the system's parts, which are weighted based on their masses. The centre of mass is the location where the body's entire mass is concentrated.

Complete answer:
We need to find the centre of mass of any uniform object by drawing the diagonals of the object. the intersection of these diagonals gives the centre of mass of that object .

If the rectangle of this figure is considered, the centre of mass will lie at point P.

Additional information:
In the case of a single rigid body, the centre of mass is fixed in reference to the body, and it will be positioned at the centroid if the body has uniform density. The centre of mass of hollow or open-shaped objects, such as a horseshoe, can occasionally be found outside the human body. The centre of mass may not match to the position of any one member of the system in the event of a distribution of independent bodies, such as the planets of the Solar System. The centre of mass is a useful reference point for mechanics calculations involving masses scattered in space, such as planetary bodies' linear and angular momentum and rigid body dynamics.

Note:
If the mass distribution is uniform, the centre of mass should always be in the geometric centre.
On the other hand, rarely, the object's centre of mass does not fall exactly where it should. For items that are simple and rigid and have a homogeneous density.