3. What is the moment of inertia of a rod about an axis through the center of the rod?(a) Calculate the total moment of intertia of the system about an axis passing through the center ofthe sphere.Enter to 2 significant figuresI totalkg m²(b) What is the magnitude of the angular momentum of the satellite?Enter to 2 significant figuresL=✔kg m²/s 1. A satellite is spinning at 6.0 rev/s. The satellite consists of a main body in the shape of a sphere ofradius 2.0 m and a mass of 2000 kg, and two antennas projecting out from the surface of the mainbody that can be approximated with rods of length 3.0 m each and mass 10 kg. The antennas lie inthe plane of rotation. See the figure below.MsRThings to think about:1. The system is made of one sphere and two rods attached to the surface of the sphere. Thetotal moment of inertia of the system is the sum of individual moments of inertia.2. The axis of rotation for the system is about the center of the sphere. How can you calculatethe moment of inetia of the rods about this axis? How far are the center of mass of the rodsaway from the axis of rotation?3. What is the moment of inertia of a rod about an axis through the center of the rod?

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