A circular cone with mass m is shown below. The x axis is parallel to x' axis and the y axis is parallel to y'axis. Using parallel axis theorem, give the equations for Ix' and Iy' (moment of inertia about Ix' and Iy'). Note: Iy' = Iy - mh^2 is incorrect. Please explain why.

A circular cone with mass m is shown below. The x axis is parallel to x' axis and the y axis is parallel to y'axis. Using parallel axis theorem, give the equations for Ix' and Iy' (moment of inertia about Ix' and Iy'). Note: Iy' = Iy - mh^2 is incorrect. Please explain why.

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Question

1) A circular cone with mass m is shown below. The x axis is parallel to x' axis and the y axis is parallel to y'axis. Using parallel axis theorem, give the equations for Ix' and Iy' (moment of inertia about Ix' and Iy'). Note: Iy' = Iy - mh^2 is incorrect. Please explain why.

2) A circle plate, semi-circle plate, and quarter circle steel plate with equal mass densities and thicknesses are all shown below. Their moment of inertia about the y axis is Iyc, Iys, and Iyq respectively. Rank their moment of inertia about the y-axis. Iys = Iyc = Iyq is incorrect. Please explain why.