To free from a source of mental trouble.
To rid of a burden; to free from a load carried; to unload.
To dissociate oneself from (an allegation or rumour).
To rid oneself of a malady or its symptoms
Some rumors that the governor had smoked pot as a teenager were flying around, but he has finally managed to shake them off.
To remove (something attached to, on or clinging to an object) by shaking.
To lose someone who is tracking you