Question:
A bar magnet of magnetic moment m and moment of inertia I is cut into two equal pieces, perpendicular to length. Let T be the period of oscillations of the
original magnet about an axis through the midpoint, perpendicular to the length, in a magnetic field B. What would be the similar period T’ for each piece?
Solution:
T is the time period
I is the moment of inertia
m is the mass of the magnet
B is the magnetic field
T = 2π√I/MB
Magnetic dipole moment M’ = M/2
Time period is given as T’ = T/2