Case II.

Case II.  and

Same as in Case II, a slip ratio due to the critical value of the slip ratio can be obtained as:

                                                  (1)

A slip ratio due to the critical value of the slip angle can be found as:

                               (2)

When

The nondimensional slip ratio , is determined as:

                                           (3)

where,

The nondimensional contact patch length  is found from the equation, and the modified lateral friction coefficient  is expressed as:

                                        (4)

For the longitudinal force, the lateral force, and the self-aligning torque two sub-cases should also be considered separately. A slip ratio due to the critical value of the inclination angle is not needed here since the required condition for Case II, , replaces the critical condition of the inclination angle.

1.  Elastic Deformation State:  and

In the elastic deformation state:

                              (5)

               (6)

                       (7)

      (8)

                                                                  (9)

2.  Complete sliding state:  or

                                                                  (10)

                                                                  (11)

                                                             (12)

                                                         (13)

                                                                 (14)