A short bar magnet of magnetic moment $$2Am2and$$ moment of inertia $$6$$×$$102kg/m2$$ is freely suspended such that the magnetic axial line is in the direction of magnetic meridian. If the magnet is displaced by very small angle $$($$ $$3o)$$, the angular acceleration is y×$$10-6rad/s2$$ . Find y. (Magnetic$$ induction of earth’s horizontal field $$=$$ $$4$$×$$10-4T)

Question

A short bar magnet of magnetic moment  $$2Am2and$$ moment of inertia  $$6$$×$$102kg/m2$$ is freely suspended such that the magnetic axial line is in the direction of magnetic meridian. If the magnet is displaced by very small angle $$($$ $$3o)$$, the angular acceleration is y×$$10-6rad/s2$$ . Find y. (Magnetic$$ induction of earth’s horizontal field $$=$$ $$4$$×$$10-4T)

Infinity Learn · Accepted Answer

α$$=MBI$$θ$$=2$$×$$4$$×$$10-4$$×$$3$$×π$$6$$×$$102$$×$$180$$ ⇒α$$=$$π$$45$$×$$10-6rad/s2$$

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