- #1

- 10

- 0

Member advised to use the formatting template for all homework help requests

I have a test coming up next week and while doing some practice questions I found one I can't wrap my head around. The question is:

A pyramid (assume uniform density) is divided in two parts by a horizontal plane through its center of mass. How do the masses of the two parts compare ? There are three options provided:

a) The mass of the top part is higher

b) The mass of the bottom part is higher

c)Both parts have the same mass.

I think that for a symmetrical object like this one with uniform density the centre of mass must be equal in both sides. However, I'm not sure how to find a way to prove this, or (obviously) whether i am right or wrong. Any help Would be appreciated.

A pyramid (assume uniform density) is divided in two parts by a horizontal plane through its center of mass. How do the masses of the two parts compare ? There are three options provided:

a) The mass of the top part is higher

b) The mass of the bottom part is higher

c)Both parts have the same mass.

I think that for a symmetrical object like this one with uniform density the centre of mass must be equal in both sides. However, I'm not sure how to find a way to prove this, or (obviously) whether i am right or wrong. Any help Would be appreciated.