In our discussion class, we found the expression of the angle 0 when the current loop pictured below reaches mechanical equilibrium. Call that angle 00. Now, suppose the loop has been turned to a new angle, 0 = 0 + 8, slightly away from equilibrium (so |8| << 00), and let go. A simple harmonic oscillation of the loop ensues. Find the expression of the frequency f of the oscillation, and its numerical value if B = 800 mT, Io = 4.0 x 10 kg m² (Moment of inertia about the axis through O), k = 200 N/m, b = 28 cm, and I = 1.6 A.

In our discussion class, we found the expression of the angle 0 when the current loop pictured below reaches mechanical equilibrium. Call that angle 00. Now, suppose the loop has been turned to a new angle, 0 = 0 + 8, slightly away from equilibrium (so |8| << 00), and let go. A simple harmonic oscillation of the loop ensues. Find the expression of the frequency f of the oscillation, and its numerical value if B = 800 mT, Io = 4.0 x 10 kg m² (Moment of inertia about the axis through O), k = 200 N/m, b = 28 cm, and I = 1.6 A.