The bell has a mass of 375 kg, a center of mass at G, and a radius of gyration about poi...

The bell has a mass of 375 kg, a center of mass at G, and a radius of gyration about point D of k_D = 0.4 m. The tongue consists of a slender rod attached to the inside of the bell at C If an 8-kg mass is attached to the end of the rod, determine the length I of the rod so that the bell will "ring silent," i.e., so that the natural period of vibration of the tongue is the same as that of the bell. For the calculation, neglect the small distance between C and D and neglect the mass of the rod.