Possess weapon dangerous to the public peace is a charge laid when you are carrying or are in possession of a device that, ostensibly, could be used as a weapon but you have not yet done so. Typically laid when there's a perceived threat of someone up to no good.
For instance, let's say you're carrying a baseball bat down the street. If you're wearing a jersey, sneakers, and carrying a baseball and glove, it's doubtful such a charge would be laid. However if you're sauntering along with a posse of youths dressed in gang colors, it's a good bet you're not off to the diamond for some batting practice. If it walks like a duck.... Possess weapon dangerous would likely be laid after the officers interviewed (pursued and caught?
) the subjects.