The moment of inertia of a uniform thin rod of mass m and length l about an axis through its center and perpendicular to its length is . find its moment of inertia through through an axis passing through one of its ends and perpendicular to its length.

About center ,

About an end ,

Explanation:

Given that

Mass =m

Length = L

The moment of inertia of rod about center given as

We know that the moment of inertia about a parallel axis which at a distance d from the center given as

I=Io+ m d²

The distance of one end from center

distance = 150m

displ = root (50 ^2 + 100^2)

root(2500+10000)

root 125000