Originally Posted by
semaphore
The loss of the 13 colonies wasn't the first step of British colonial decline. The Treaty of Paris was actually the final step that in essences ended the First British Empire. The rest of Britain's colonies (i.e. Canada) remained loyalist. The reason Britain could not divert more resources to America wasn't to prevent "the crack" happening in other colonies, it's because Britain faced the prospects of an European war, which was an infinitely more pressing matter.
The Second British Empire, which is what most people think about by "British Empire", actually emerged some years after American independence. The breakup of that empire was directly attributable to the strain of World War I (and to a lesser degree, the failure of Imperial Federation earlier).
It wasn't so much a chip as it was the heart and soul of Britain's overseas colonies. Their loss was so substantial that when Britain bounced back, as it were, her new acquisitions were considered a second, distinct empire from the first one, which was focused around the 13 colonies.