Consider an electric dipole located in a region with an electric field of magnit

Question

Consider an electric dipole located in a region with an electric field of magnitude E pointing in the positive y direction. The positive and negative ends of the dipole have charges + q and - q, respectively, and the two charges are a distance D apart. The dipole has moment of inertia I about its center of mass. The dipole is released from angle =0, and it is allowed to rotate freely.

What is max, the magnitude of the dipole's angular velocity when it is pointing along the y axis?
Express your answer in terms of quantities given in the problem introduction.

Explanation / Answer

here the dipole has two charges which are seperayed by the distance D
the dipole rotating freely with anguler veloocity and it has the moment of inertia about center of mass at the time t for a dipole                                                 q(t) =q0cost the resulting is an oscilating electric dipole                                            p(t) = p0cos(t) where the            p0 = q0D it is the maximum value of the dipole momentum

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