Question

At any angular speed, a certain uniform solid sphere of diameter d has half as much rotational kinetic energy as a certain uniform thin-walled hollow sphere of the same diameter when both are spinning about an axis through their centers. If the mass of the solid sphere is m, the mass of the hollow sphere is xm, what is x?.

Answer 1

The mass of the hollow sphere is xm x is 6/5 M.

How to find the center of mass of solid sphere ?

A system or item has a unique location termed the center of mass, which moves as if the system's whole mass were concentrated there.

The system will move as though an external force were being applied to the mass-centered item, M. In this post, we'll figure out where a solid hemisphere's center of mass is.

By multiplying the masses you're looking for the center of mass between by their locations, the center of mass may be computed. You next put these two together and divide the result by the total of all the individual masses.

yc = 3R/8 is the solid hemisphere's center of mass.

The value of x is 6/5m

To Learn more about center of mass of solid sphere refer to :

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