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Physics · Ch 5 — Motion of System of Particles and Rigid Bodies

Slipping and Sliding

5.6.2

Slipping and Sliding

A round object rolling on any surface with a nonzero coefficient of friction (μ>0\mu>0) always tends towards pure rolling — the friction responsible for enabling and maintaining this is called rolling friction. In pure rolling, there is, by definition, no relative sliding motion between the point of contact and the surface at all. But whenever the rolling object suddenly speeds up or slows down (or, indeed, whenever it is not yet in pure rolling to begin with, e.g. just after starting from rest, or just after landing), the balance vCM=Rωv_{CM}=R\omega can be disturbed, producing either sliding or slipping.

Sliding is the case vCM>Rωv_{CM}>R\omega (equivalently, vTRANS>vROTv_{TRANS}>v_{ROT}) — translation exceeds rotation. This happens, for example, when sudden brakes are applied to a moving vehicle, or when a vehicle enters a slippery patch of road. Here, the point of contact has more translational velocity than rotational velocity, giving a net forward resultant velocity there relative to the ground; the kinetic frictional force fkf_k, always opposing this relative motion, therefore acts backward at the contact point. This friction reduces the (excess) translational velocity and increases the rotational velocity, driving the two towards equality and re-establishing pure rolling. Sliding is sometimes also called forward slipping. …

Figure 5.35Sliding: v_TRANS greater than v_ROT

What this figure shows. A wheel that is sliding rather than purely rolling is shown, where the translational velocity v_TRANS at the contact point exceeds the rotational velocity v_ROT there, so the point of contact has a net forward resultant velocity v relative to the ground; a kinetic frictional force f_k is shown acting backward on the wheel at the contact point, opposing this relative forward slide, which happens for example when brakes are suddenly …

Figure 5.36Slipping: v_ROT greater than v_TRANS

What this figure shows. A wheel that is slipping (spinning its wheels) rather than purely rolling is shown, where the rotational velocity v_ROT at the contact point exceeds the translational velocity v_TRANS there, so the point of contact has a net backward resultant velocity v relative to the ground; a kinetic frictional force f_k is shown acting forward on the wheel at the contact point, opposing this relative backward slip, which happens for example when a vehicle's wheels spin uselessl …