PRACTICE IT Use the worked example above to help you solve this problem. In an effort to be the star of the half-time show, a majorette twirls an unusual paton made up of four spheres fastened to the end of very light rods ( see figure). Each rod is 1.70 m long. (a) Find the moment of inertia of the baton about an axis perpendicular to the page and passing through the point where the rods cross. kg . m 2 (b) The majorette tries spinning her strange baton about the axis OO', as shown in the figure. Calculate the moment of inertia of the baton about this axis. kg . m2 EXERCISE HINTS: GETTING STARTED | I'M STUCK! Yet another bizarre baton is created by taking four identical balls, each with mass 0.295 kg, and fixing them as before except that one of the rods has a length of 1.23 m and the other has a length of 1.93 m. (a) Calculate the moment of inertia of this baton when oriented as shown in the figure. 1 = kg . m (b) Calculate the moment of inertia of this baton when oriented as shown in the figure, with the shorter rod vertical. I = kg . m2 (c) Calculate the moment of inertia of this baton when oriented as shown in the figure, but with longer rod vertical, I = kg . m