Labour councillor and housing convener, Tim Pogson, said the building posed “significant physical risks”.
But protesters who disrupted the meeting said the issues had been raised with the council on multiple occasions.
They argued that repairs should have been carried out earlier, before the building was allowed to fall into disrepair.
The committee was also told that some tenants had learned about the demolition plans in the press.
Councillors backed a combined SNP, Green and Liberal Democrat position to have officers explore several issues raised about the demolition.
A Conservative motion which would have supported the position of officers to move ahead with demolition of the building, while supporting owners of flats inside the block, was defeated.