Question

About which axis is the moment of inertia of a body minimum

Answer 1

For suppose the moment of inertiaabout a certain axis which does not pass through its CM is , then by parallelaxis theorem, the moment of inertiawith respect to a parallel axis through the CM is I − M h 2 where is the total mass of the object and is the distance between the two axes.

Answer 2

# Given-

m = 1.7×10-27 kg

r = 4×10^-10 m

# Solution-

Here,

Total mass M = 2m

Radius of rotation R = r/2

Moment of inertia of hydrogen molecule is given by-

M.I. = MR^2

M.I. = (2m)(r/2)^2

M.I. = mr^2/2

M.I. = 1.7×10-27 × (4×10^-10)^2 / 2

M.I. = 1.36×10^-46 kgm^2