(Solved): Two spheres are attached to a rod. The rod and sphere can rotate about a vertical rod (along the z ...

Two spheres are attached to a rod. The rod and sphere can rotate about a vertical rod (along the $z$ axis). The rod has a mass of ${\mathrm{m}}_{\mathrm{rod}}=0.7\mathrm{kg}$ and a length of ${\mathrm{I}}_{\mathrm{rod}}=49\mathrm{cm}$. The spheres have a mass of $m_{\text{sphere }}=5\mathrm{kg}$ and a radius of $r_{\text{sphere }}=13\mathrm{cm}$. 1. Find the Mass Moment of Inertia of the left system (rod + spheres) about the axis $Z$. 2. Find the radius of the rings needed to get the same Mass Moment of Inertia. The mass of the ring are $m_{\text{ring }}=5\mathrm{kg}$. Note: if you have a quadratic equation to solve, you are on the right track. In the box below enter the Mass Moment of Inertia of one of the systems in $\mathrm{kg}.{\mathrm{cm}}^2$. Give your answer as an integer.