Question

Give the location of the centre of mass of a (i) sphere, (ii) cylinder, (iii) ring, and (iv) cube, each of uniform mass density. Does the centre of mass of a body necessarily lie inside the body?​

Answer 1

Solution:

In all the four cases, as the mass density is uniform, centreof mass is located at their respective geometrical centres.

No, it is not necessary that the centre of mass of a body should lie on the body. For example, in case of a circular ring, centre of mass is at the centre of the ring, where there is no mass.

Answer 2

$\huge{\boxed{\boxed{\bf{\mathfrak{\green{Answer}}}}}}$

Heya!!

# Center of Mass :- The center of Mass is a position defined relative to an object or system of objects . It is the average position of all the parts og the system weighted according to their masses.

Or simply we can say --- a point where we can say that the whole mass of a body or system is concentrated .

Now we will see the location of centre of Mass of the following :

1) Sphere : It is located on the center of the Sphere

2) Cylinder : It is located on the center of it's axis .

3) ring : it is located on the center of ring .

4) Cube : It is located where all the diagonals intersects .

In all cases as the mass distribution is uniform thus the centre of Mass lie on their symmetric centres.

-------------

Yes centre of Mass can lie outside of the body or system too .

As it depends upon the configuration and composition of the System or body .

I hope it will be helpful.