A method of mounting a tire to a wheel includes rotating a tire about an axis of the tire at a first rotation speed and moving a first tire engaging member into contact with the sidewall of the tire, thereby moving a proximate section of a bead of the tire into a well of the wheel. The method further includes moving a second tire engaging member into contact with the sidewall of the tire and rotating the second tire engaging member about the axis of the tire at a second rotation speed different from the first rotation speed. The method also includes moving the second tire engaging member out of contact with the sidewall of the tire and moving the first tire engaging member out of contact with the sidewall of the tire.

A mount and demount head configured as a housing affixed to a shaft of an OEM tire machine with a semicircular shaped shaft affixed to the housing. The shaft has a bulbous protrusion on a bottom end of the shaft with specific tapers. The shaft and the bulbous end have a flattened portion for following the contour of the rim. On the upper side of the bulbous end is the narrow semicircular shaft with a tapered top end, tapered to a widened shaft, which is affixed to the housing. A non-metallic insert is preferably inserted into a void in the flattened portion of the narrow semicircular shaft and bulbous end to protect the rim surface. Clamp adapters are used to clamp and hold small wheel assemblies whereby the clamp adapters are inserted over the OEM clamps to extend the clamp capability of the OEM tire machine.