As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
AT APPROX 50 KTS ON TAKE OFF ROLL, NOSE WHEEL SHIMMIES AND STAYS AT A STEADY STATE OF OSCILLATION UNTIL STOPPED. REMOVED NOSE SHIMMY DAMPER AND INSTALLED OVERHAULED UNIT. REMOVED NOSE WHEEL AND FOUND BALANCE TO BE OUT. REINSTALLED REPAIRED NOSE WHEEL BALANCED BY DUNCAN AVIATION WORK PERFORMED IAW CESSNA 560 M/M 32-21-02.