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?
Answers
Answer:
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.
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 of the system weighted according to their masses or simply we can say a point where we can say that whole mass of a body or system is concentrated..
:-now we Will see the location of center of mass of the following...
1)sphere:-it is located on the center of sphere.
2)cylinder:-it is located on the center of its axis.
3)ring:-it is located on the center of ring.
4)cube:-it is located where all the diagonals intersect..
in all cases as the mass distribution is uniform thus the center of mass lie on their symmetric center.....
yes center of mass can lie outside of the body
or system too. As it depends upon the configuration and composition of the system or body....
hope it will be helpful......... ☺✌✌