Have a A200 Mixer, when turned on, you have to spin it by hand then it runs fine. Whats wrong

The answer is clearly in the starting circuit which doesn't have too many parts, but depends on the type of starting circuit your mixer uses (electronic or mechanical start switch). I'm assuming your mixer isn't very old, as the old units used brushed motors which did not have starting circuits.

The parts of the starting circuit are the motor start winding, the start capacitor and the start switch (probably electronic in your case which is a small silver box with four wire terminals on it). The capacitor should be tested with a multimeter after verifying it's not holding a charge (check with multimeter set to DC Volts, mixer unplugged, should read zero volts).
Start winding should be tested with the meter to measure ohms. Locate the wires leading to the motor (hopefully only three wires) and you should get a reading for all three combinations of measurements (wire 1-to-wire 2, 2-to-3, 1-to-3) if meter indicates open on any of these, motor stator is bad(this is pretty rare and quite expensive).
Electronic start switches are not very simple to test, but if the capacitor and motor test out OK with the meter, and all the wiring is intact (look closely for loose wires, burned wires, poorly crimped terminals, etc.) then it must be the start switch.