Abstract: A grinding apparatus for application upon pavement surfaces or the like includes a self-powered, riding machine having one or more grinding heads. The operator is situated immediately above the grinding heads and manipulates the operation of the heads as well as the advancement of the machine, through appropriate controls. The machine includes a bottom frame assembly upon which the majority of the apparatus is mounted. The grinding heads are normally stationary with respect to the bottom frame assembly and are raised and lowered relative the pavement, upon the pivotal displacement of an upper frame assembly which is provided with a forwardmost control arm. This displacement translates as a vertical adjustment of the grinding heads as the bottom frame assembly is raised or lowered. The forward distal portion of the control arm joins with a steerable wheel assembly. Preferably, independent control of the wheel assembly is accomplished by a second, mobile operator.