Thread: Spherical Coordinates and Centre of Mass

Wondering if someone could help me get this answer. I don't get spherical coordinates at all. What does the uniform material part mean in terms of delta?

The volume of the region given in spherical coordinates by the inequalities
3 less than or equal to rho less than or equal to 5
0 less than or equal to phi less than or equal to pi/6
-pi/6 less than or equal to theta less than or equal to pi/6
is filled with uniform material. Find the x-coordinate of the centre of mass.

Thanks for any help.

John

Originally Posted by JaysFan31

Wondering if someone could help me get this answer. I don't get spherical coordinates at all. What does the uniform material part mean in terms of delta?

It means that the density is constant - that is it is independent of position.

RonL

Could someone just help me set up the integrations for the x centre of mass?

Originally Posted by JaysFan31

Could someone just help me set up the integrations for the x centre of mass?

You know that the centre of mass is defined by:



where is the volume occupied by the mass, is the total mass, and is the is the density at point .

RonL