The diagram shows three small magnetic dipoles at the vertices of an equilateral triangle. Moments m_B and m_C point permanently along the internal angle bisectors. Moment m_A is free to rotate in the plane of the triangle. Find the stable equilibrium orientation of the latter and the period of small oscillations around that orientation. Let all the moments have magnitude m and let m_A have moment of inertia I about its center of mass.

Transcribed Image Text:

-MA MB mc. -a-