Multi-Segment Moment

Classical Mechanics Level 5

Consider a three-segment wire with mass \(M\) and \((x,y)\) vertices as shown in the figure above. The moment of inertia relative to an axis perpendicular to the \(xy\) plane and passing through \((0,0)\) can be expressed as \(\alpha M\).

Enter \(\lfloor{\alpha}\rfloor\) as your answer.

Assume that we neglect units.

Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.


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