In the first part of the article using a direct calculation two-dimensional
motion of a particle sliding on an inclined plane is investigated for general
values of friction coefficient (μ). A parametric equation for the
trajectory of the particle is also obtained. In the second part of the article
the motion of a sphere on the inclined plane is studied. It is shown that the
evolution equation for the contact point of a sliding sphere is similar to that
of a point particle sliding on an inclined plane whose friction coefficient is
2/7}\ \mu. If μ>2/7tanθ, for any arbitrary initial velocity and
angular velocity the sphere will roll on the inclined plane after some finite
time. In other cases, it will slip on the inclined plane. In the case of
rolling center of the sphere moves on a parabola. Finally the velocity and
angular velocity of the sphere are exactly computed.Comment: 12 pages, 3 figure