To unbalance something means to make it unsteady and likely to tip over. Her whole body began to buckle, unbalancing the ladder Don't lean in -- you're unbalancing the horse
Unequal mass distribution on a rotor The mass centerline does not coincide with the rotation or geometric centerline
If something unbalances a relationship, system, or group, it disturbs or upsets it so that it is no longer successful or functioning properly. The interplay between the new politics and the modern media will unbalance the political process and inhibit its workings. = destabilize
throw out of balance or equilibrium; "The tax relief unbalanced the budget"; "The primadonna unbalances the smooth work in our department"
derange mentally, throw out of mental balance; make insane; "The death of his parents unbalanced him"