Abstract: For the motion of a sphere on a rough horizontal plane, in the previous paper [1] the author aimed at providing approximate analytical solutions while the nutation is neglected,In this paper, the control equations for the sphere with nutation have beendeduced on the basis of paper [1]. Through the medium of solving these equations, the conclusion for the velocity of contact point in paper [1] is still proved true for the case with nutation. What is more, some interesting results are gained, for example the ve-locity of centre and contact point is relative to the angular velocity of spin and nuta-tion the direction of velocity of centre and contact point is constant. Under the condi-tion which is supposed to be weak nutation, the approximate analytical solutions are obtained,so that the results of paper [1] is proved to be true.

Key words: electro-magneto-elasticity, SH wave, stress intensity factor, integral equation, nutation, motion of a sphere, rough plane, contact point