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 = 00 + 8, slightly away from equilibrium (so |8| << 0o), 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 × 10-3 kg · m² (Moment of inertia about the axis through O), k = 200 N/m , b = 28 cm, and I = 1.6 A. %3D B Figure TP28.1 5127 34
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 = 00 + 8, slightly away from equilibrium (so |8| << 0o), 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 × 10-3 kg · m² (Moment of inertia about the axis through O), k = 200 N/m , b = 28 cm, and I = 1.6 A. %3D B Figure TP28.1 5127 34
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Transcribed Image Text:In our discussion class, we found the expression of the
angle 0 when the current loop pictured below reaches
mechanical equilibrium. Call that angle 0. Now, suppose
the loop has been turned to a new angle, 0 = 00 + 8,
slightly away from equilibrium (so |8| << 0o), 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 10-3 kg · m² (Moment of inertia about the
axis through O), k = 200 N/m , b = 28 cm, and
I = 1.6 A.
%3D
B
В
k
k
I
Figure TP28.1
527
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