How could I transport my tennis racket on my bike?

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Almost anything can be attached to a rear rack with a bit ingenuity, some sticky-backed plastic and a few yogourt cartons.
Corrugated plastic (correx) For Sale signs are useful for creating stabilizing boards, either on the top or side of the rack. You can fix them in place with zip-ties or twists of wire. I have a plywood top-plate extender for wider, heavy and over-sized loads, that I just wire in place as needed. Lengths of narrower inner tube can be used in place of bungy chords, if you need a precise tension and length
For regular carriage, I can see a tennis racquet holder made from correx that you wire to one side. You can glue and screw blocks of wood to position the racquets. For a more professional look you can use a pannier style hooking system.
 
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