Question
What is the ratio of the masses of solid sphere and hollow sphere of equal radii so that radius of gyration is same about diameters?
Solution
The radius of gyration is independent of the mass but depends on upon the distribution of mass.
Therefore, solid sphere and hollow sphere of equal radii can never have an equal radius of gyration. This is because the distribution of mass in the solid and hollow sphere is different. The mass in a hollow sphere is concentrated at its periphery than at its centre.
Therefore, solid sphere and hollow sphere of equal radii can never have an equal radius of gyration. This is because the distribution of mass in the solid and hollow sphere is different. The mass in a hollow sphere is concentrated at its periphery than at its centre.
