In a physics lab, Asha is given a 10.7 kg uniform rectangular plate with edge lengths 67.3 cm by 53.5 cm . Her lab instructor requires her to rotate the plate about an axis perpendicular to its plane and passing through one of its corners, and then prepare a report on the project. For her report, Asha needs the plate's moment of inertia with respect to given rotation axis. Calculate .

Explanation:

Given:

dimension of uniform plate,

mass of plate,

Now we find the moment of inertia about the center of mass of the rectangular plate is given as:

where:

length of the plate

breadth of the plate

We know that the center of mass of the rectangular plane is at its geometric center which is parallel to the desired axis XX' .

Now we find the distance between the center of mass and the corner:

Now using parallel axis theorem: