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You have designed a cat door that consists of a square piece of plywood that is 1.0 in thick and 6.0 on a side, and is hinged at its top. To make sure the cat has sufficient time to get through hit safely, the door should have a natural period of at least 1.0s. Will your design work? If not, describe qualitatively what you would need to do to make it meet your requirements.

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