exercise apparatus could be mounted to the shuttle as at lug 162 for that motion in translation or reciprocation in an alternate embodiment the axis of pivotal motion of lug 120 need not necessarily be oriented in the circumferential direction for example in the embodiment of fig9 a connector 180 which may in other respects be taken as being similar to connector 160 may have a lug 182 having an axis of pivotal rotation parallel to the axis of the longitudinal support structure member to permit angular motion in a degree of freedom that is turned a quarter turn from that of connector 160 and 56 such as to permit a member such as item 50 to sweep out a circumferential sector or arc this orientation may be convenient for use with an axially movable shuttle whether on a predominantly upright pole or on a predominantly lateral handrail such that the motion of the shuttle provided one degree of freedom of motion i e axial translation while being restrained in respect of rotation while the lug provides a second degree of freedom of motion such as swinging motion in a different direction in this case swinging motion cross wise to the long axis of the support this may be convenient for example where connector 180 is a predominantly horizontally translating or reciprocating shuttle and it is desired to fasten an exercise or physiotherapy or rehabilitation apparatus to lug 182 at a level of greater generality in each of the embodiments there is a connector apparatus be it 20 160 180 for mating to a substantially cylindrical.