The axis of rotation of a thin plate is located at the left side, calculate the moment of inertia 𝐼 if the plate has a length 𝐿 of 9.00 cm, a width 𝑤 of 7.00 cm,and a uniform mass density of 2.50

Question

The axis of rotation of a thin plate is located at the left side, as shown in the figure.

Calculate the moment of inertia 𝐼 if the plate has a length 𝐿 of 9.00 cm, a width 𝑤 of 7.00 cm,and a uniform mass density of 2.50 g/cm^2.

Answer 1

Hey Elena,

You should be able to find this moment of inertia formula from a table: I = 1/3*m*a², where a is L in your case. Basically, w doesn't matter for that calculation, since all you care about is how far the mass is from the axis of rotation.

To find M, you can find the area of the plate and multiply by the mass density.

Hope this helps,

Chris