Question: You are designing a uniform thin rectangular door to fill a (1 mathrm{~m}) wide (times 2 mathrm{~m}) tall opening, and you want it to be

You are designing a uniform thin rectangular door to fill a $1 \mathrm{~m}$ wide $\times 2 \mathrm{~m}$ tall opening, and you want it to be easy to open.

(a) Considering only vertical and horizontal axes, what placement of the axis of rotation would result in the smallest rotational inertia?

(b) Is such an axis practical?

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