A W figure.
each of the 4 arms of the W has mass M, length L, and are at right angles.
axis is in the plane of W, passing through the middle, vertically.
i used the result I=M(L sinθ)²/3 for a rod inclined at angle θ with the axis, and axis passing through edge, from a previous sum
The Attempt at a Solution
in the figure i found out the MI only for the left part, so for the whole figure will be twice of that result, i.e. 5ML²/3
sinθ is 1/√2 here,
so i found out the MI for the leftmost rod through the edge, shifted its axis to the center of the W and added it to the MI of the second rod.
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