The main method they used was publishing a series of papers pushing for the ratification of the Constitution called the "Federalist Papers". They argued that a strong central government was needed to pay back war debts and control the economy. The Anti-Federalists insisted that there would at least need to be a Bill of Rights in the Constitution.
The US overthrew Liliuokalani because she did not keep the treaty that the former leader of Hawaii had with the planters. This treaty stated that the planters could plant sugar crops in Hawaii. When Liliuokalani came to power she was anti-american and did not want the planters there, so the americans overthrew her. Basically, the reason was money- the US wanted to control the sugar plantations in Hawaii and they wanted to exploit the native population.
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The revolt of Spartacus began, more or less, as an accident; the original plan of the gladiators, according to the historian Plutarch, was simply to escape Their Slavery. The actual motivations behind Spartacus' revolt do not detract from his accomplishments, however.
Explanation:
I'm guessing its the fall of China's last dynasty or the fall of Qin Shi. Hope I could help