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Moments Under Rotation: Mohr's Circle

Moments Under Rotation: Mohr's Circle
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2019-12-27 22:18
VectorTrigonometryCoordinate GeometryOptimizationGeometric Construction
This example demonstrates the graphical representation of moments of inertia under rotation, specifically Mohr's Circle. It involves core mathematical concepts such as moment of inertia, Mohr's Circle, vectors, and angle calculations. The construction uses GeoGebra commands and objects like Circle, Vector, Point, Angle, and Locus. Suitable for high school students and scholars needing to understand rotational system inertia analysis in engineering mechanics.

GeoGebra Commands & Parameters

  1. Circle(C, r_1) → c
  2. Vector(XX, B) → r_3
  3. Point(c) → E
  4. Vector(O, C) → u
  5. Vector(C, E) → v
  6. Angle(F, O, C) → β
  7. Angle(B, XX, D) → α
  8. Locus(B, θ) → loc1