Question

where is the centre of a homogeneous body which has a regular geometrical shape

Answer 1

Answer:

It follows from the definition. Given a volume V with mass M and density ρ(r) the position of the center of mass is:

rCM=1M∫Vρ(r)rdV

However if ρ(r)=ρ0=MV i.e. the system is homogeneous

rCM=1MMV∫VrdV=1V∫VrdV

which now is the definition of geometric center.

Answer 2

Explanation:

don't know sorry high level question