Solve Problem $4$ from Exam $3$ using the following values: Lrod $=0\mathrm{.}4[$m$]$ drod $=5\mathrm{.}4[$mm$]$ rhorod $=3490[$kg$/$m$3]$ Lcyl $=0\mathrm{.}133[$m$]$ dcyl $=0\mathrm{.}055[$m$]$ rhocyl $=7300[$kg$/$m$3]$ Calculate the radius of gyration $[$m$]$ around the origin. Report your answer to three decimal places

A pendulum consists or a has length $L_{\text{r}\text{o}\text{d}},$ diameter $d_{\text{r}\text{o}\text{d}},$ and density rho ${?}_{\text{r}\text{o}\text{d}}.$ The cylinder has length $L_{cy},$ diameter $d_{cyl},$ and density ${}_{cyl}.$ The pendulum swings around point O $.$

Calculate:

Use the moments of inertia for the rod and cylinder, along with parallel axis theorem to calculate the radius of gyration of the pendulum about the point $0..$