You probably have a blown timer motor or a stripped gear train. If you have a meter, you can check it. Unfortunately, they do not sell the motor seperately, you have to buy the whole timer AP4042430 You can verify this by sticking 115 volts to the timer motor leads and verify it is turning the little output gear. As far as I can see, your start switch is a simple switch with no relay, so it's probably ok.
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