Question

. What is the moment of inertia of a rod of mass M, length l about an axis perpendicular to it through one end?

Answer 1

Here we can use parallel axis theorem.

as you know that moment of inertia of a rod about centre of mass is ML²/12


then from centre of mass to one end distance =L/2

then, moment of inertia at any end of rod=[ML²/12]+[M(L/2)²]

=(ML²/12)+(ML²/4)

=4ML²/12 = ML²/3

Answer 2

The answer will be ML2/3 here 2 is power at L