Centroid of solid enclosed by surface z= y^2 , plane x=0 ,

[chetzread]

Homework Statement

Find the centroid of solid enclosed by surface z= y^2 , plane x=0 , x = 1 and z =1 . The density is 1

Homework Equations

The Attempt at a Solution

Here's my working .

Centoird = mass of inertia / mass
So , i find the mass first .

It's clear that the circle is on zx plane ... I am not sure whether to use z= rcos theta or z = rsin theta . Can you help ?

 

[Mark44]

Homework Statement

Find the centroid of solid enclosed by surface z= y^2 , plane x=0 , x = 1 and z =1 . The density is 1

Homework Equations

The Attempt at a Solution

Here's my working .

Centoird = mass of inertia / mass
So , i find the mass first .

It's clear that the circle is on zx plane ... I am not sure whether to use z= rcos theta or z = rsin theta . Can you help ?

Almost everything you have here is wrong.

• Your drawing is way off. Take more time and get a more careful drawing the represents the solid described in your problem statement.
• "the circle is on zx plane" -- No, it's not a circle.
• You are apparently trying to use polar coordinates -- why?