Question: A small object with dipole moment (p) is released near its equilibrium orientation in a uniform electric field of magnitude (E). The rotational inertia of

A small object with dipole moment \(p\) is released near its equilibrium orientation in a uniform electric field of magnitude \(E\). The rotational inertia of the dipole is \(I\).

(a) What is the effective torsional constant \(\kappa\) of this simple harmonic system?

(b) Calculate the angular frequency \(\omega\) of small oscillations about the equilibrium orientation.

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