The moment of inertia of thin uniform rod of mass i and length L about an axis passing through a point midway between the centre and on end perpendicular to its length is --------------
To find the moment of inertia of a thin uniform rod about an axis passing through a point midway between the center and one end, perpendicular to its length, we can use the formula for the moment of inertia of a rod:
I = (1/12) * m * L^2
where I represents the moment of inertia, m is the mass of the rod, and L is the length of the rod.
Given that the mass of the rod is represented by i and the length is represented by L, we can substitute these values into the formula:
I = (1/12) * i * L^2
Therefore, the moment of inertia of a thin uniform rod of mass i and length L about an axis passing through a point midway between the center and one end perpendicular to its length is (1/12) * i * L^2.