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Hi everyone,

I've got stuck on this prove problem

Please help me!!!

Let S be a rectangular sheet with sides a and b and uniform density, and total

mass M.

(a) Show that the moment of inertia of S about an axis L that is perpendicular to S,

meeting S through its center, is

I =1/12*M(a^2 + b^2)

(b) Use the Parallel Axis Theorem in combination with part (a) to show that the moment of inertia of S about an axis L' that is perpendicular to S, meeting S through one of its corner, is

I =1/3*M(a^2 + b^2)

Please see the attachment.

Theorem and an example!

Thank you,

Maya

I've got stuck on this prove problem

Please help me!!!

Let S be a rectangular sheet with sides a and b and uniform density, and total

mass M.

(a) Show that the moment of inertia of S about an axis L that is perpendicular to S,

meeting S through its center, is

I =1/12*M(a^2 + b^2)

(b) Use the Parallel Axis Theorem in combination with part (a) to show that the moment of inertia of S about an axis L' that is perpendicular to S, meeting S through one of its corner, is

I =1/3*M(a^2 + b^2)

Please see the attachment.

Theorem and an example!

Thank you,

Maya