2019:
The moment of inertia of a rotating body is given by:
I = MR^2
Where:
Iis the moment of inertia of the bodyMis the mass of the bodyRis the radius of the body
In the first case, the moment of inertia of the wheel is:
I_1 = MR^2
In the second case, the moment of inertia of the wheel is:
I_2 = (M/2)R^2 + (M/2)R^2 = MR^2
Therefore, the ratio of the moment of inertia of the wheel in the two cases is:
I_1 / I_2 = 1
2018:
A solid sphere, a hollow sphere and a ring are released from the top of an inclined plane. The solid sphere reaches the bottom first because it has the least moment of inertia. The moment of inertia of a solid sphere is given by:
I = 2/5MR^2
