Determine the C.M. position of the rod of Fig. 7.6 in the case when its cross section

Question:

Determine the C.M. position of the rod of Fig. 7.6 in the case when its cross section in the $y z$ plane is circular as in Fig. 7.7 (right) and with surface density $\sigma$ of the rod cross section varying with radius according to the relation $\sigma(r)=\sigma_{\circ} \frac{r+R}{R}$.

Fig. 7.6

image text in transcribed