Answer:
[tex]I_1 = 3.463\ kg.m^2[/tex]
Explanation:
Given,
Moment of inertia of sphere, I = 2.77
Radius of sphere, R = 0.34
Moment of inertia of sphere
[tex]I = \dfrac{2}{5}MR^2[/tex]
[tex]M= \dfrac{5I}{2R^2}[/tex]
Moment of inertia of disk
[tex]I = \dfrac{1}{2}MR^2[/tex]
Mass of the disk remains same
[tex]I_1 = \dfrac{1}{2}\times \dfrac{5I}{2R^2} \times R^2[/tex]
[tex]I_1 = 1.25I[/tex]
[tex]I_1 = 1.25\times 2.77[/tex]
[tex]I_1 = 3.463\ kg.m^2[/tex]
