THE PILOT AND PASSENGER OF A TUNDRA TIRE EQUIPPED TAILWHEEL AIRPLANE WERE DEPARTING A REMOTE BEACH LANDING STRIP ON A PERSONAL CROSS-COUNTRY FLIGHT. THE PILOT INDICATED THAT A CROSS-WIND OF 15 KNOTS WAS BLOWING AND THE TERRAIN WAS ROUGH AND UNEVEN. DURING THE TAKEOFF ROLL, THE AIRPLANE HIT A BUMP AND BEGAN TO TURN TO THE RIGHT. THE RIGHT LANDING GEAR STRUCK A LOG AND THE AIRPLANE RECEIVED DAMAGE TO THE RIGHT LANDING GEAR AND RIGHT WING.