question_answer

A solid sphere of mass M and radius R is divided into two unequal parts. The first part has a mass of \[\frac{7M}{8}\] and is converted into a uniform disc of radius 2R. The second part is converted into a uniform solid sphere. Let \[{{I}_{1}}\] be the moment of inertia of the new sphere about its axis. The ratio \[{{I}_{1}}/{{I}_{2}}\] is\[\frac{140}{x}\]. Find the value of x.

Answer:

1