Magnetic torques and Coriolis effects on a magnetically suspended rotating sphere

The tenden cy for t he spin axis of a co ndu cting f errom agnetic sphere to aline l've nt ua ll y wi th a stead y uniform external mag neti c fi cici , a nd t he effect of absol ute rotation of t he f ra me of referen ce a rc con sid er rd.If t he frame of refere nce is stationary with r esp ect to f ree space, a nd jf the initia l a ngle f ro m the m ag netic axis is s ma ll and equa l t o 00 at t = O, t hc'n O= Ooet / T thereafter, wh ere r is a fun ction of t he imagina ry par t of t he co mplex susceptibility a nd the square of t he m ag neti c fi eld (7).Howeve r, on t he E ar t h's surface, a co nsta nt ha ng off angle is found, which for small 0 is approximately (n ea"" r) sin O •• n h ( 1. + (8 p/q)2) -1/2 where p a lld q arc t he real and imag in ary p a rts of the complex suscep t ibil it y, and op in vo lvrs both t he no rm ~l a nd incre menta l p rr meabiliti rs.F o r anyone spin freq uency, t hi s l"C's ults i n a constant decay of t he sph ere's energy (1 3).