The moment of inertia of a uniform rod of mass 0.50 kg and length 1 m is 0.10 kg-m 2 about a line perpendicular to the rod. Find the distance of this line from the middle point of the rod.

Question

Philoid · Accepted Answer

Given-

Length of the rod = 1 m,

Mass of the rod = 0.5 kg

Let at a distance x from the center the rod is moving

Applying parallel axis theorem –

Where

r is the distance between the parallel axes.

Applying the parallel axes theorem, the moment of inertial about the point d becomes-

Substituting the values -

The moment of inertia of a uniform rod of mass 0.50 kg and length 1 m is 0.10 kg-m2 about a line perpendicular to the rod. Find the distance of this line from the middle point of the rod.

The moment of inertia of a uniform rod of mass 0.50 kg and length 1 m is 0.10 kg-m² about a line perpendicular to the rod. Find the distance of this line from the middle point of the rod.