Chapter 9.3, Problem 40E

To determine

(a)

To prove:

$M_x^S=0$ with the help of symmetry principle.

To determine

(b)

To prove:

using the additivity of moments $M_y^S=M_y^{\text{big}}-M_y^{\text{small}}$

To determine

(c)

To find:

$M_y^{\text{big}}\text{ and }{M}_y^{\text{small}}$. Then find $M_y^S$.

To determine

(d)

To find:

COM of S.