A uniform rectangular plate of mass M, length a, and width b has a moment of ine

Question

A uniform rectangular plate of mass M, length a, and width b has a moment of

inertia about an axis perpendicular to the surface of the rectangle and passing

through its center of mass I = 1/12 M(a2 + b2). Determine the moment of inertia

about the different axes shown, each of which is parallel to the original axis and

passing through the points shown.

(a) Axis passing through point F

(b) Axis passing through point G

(c) Axis passing through point H

YOU WILL ONLY BE SELECTED AS BEST ANSWER IF YOU ALSO EXPLAIN THE REASONING FOR EACH STEP.

A uniform rectangular plate of mass M, length a, and width b has a moment of inertia about an axis perpendicular to the surface of the rectangle and passing through its center of mass I = 1/12 M(a2 + b2). Determine the moment of inertia about the different axes shown, each of which is parallel to the original axis and passing through the points shown. Axis passing through point F Axis passing through point G Axis passing through point H

Explanation / Answer

through point F = (1/12)*M(a^2+b^2)+M(a^2 /4+b^2 /4)

through point G = (1/12)*M(a^2+b^2)+M(a^2/4)

through point H = (1/12)*M(a^2+b^2)+M(b^2/4)

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