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athrun200
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Homework Statement
A uniform sphere of radius R is cut into two portions. The smaller portion S has height h measured from its flat surface, where h<R.
(a) Locate the center of mass of S from its flat surface
(b) Use (a) the locate the centre of mass of a hollow H which has the same shape and same size as S. The hollow has only a thin curved surface and without any flat surface.
(c) Obtain the result of (b) by direct integration.
Homework Equations
This question use 2 tricks to find the center of mass of a hollow.
1. Use substraction to substract a big object by a smaller one and then take limit. (I hope you understand what I mean.)
2. Use direction integration.
The Attempt at a Solution
My answer in part b doesn't agree with part c, can anyone help me to check what happen?