807_Dynamics 11ed Manual

807_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 22 *Problem 22-28 The square plate has a mass m and is suspended at its corner by the pin O. Determine the natural period of vibration if it is displaced a small amount and released. Solve using energy methods. Solution: TV + 1 2 1 12 ma 2 a 2 + () m a 2 2 + θ ' 2 mg a 2 1 cos + = 2 3 2 ' '' a 2 sin ' + 0 = '' 32 g 4 a + 0 = ω n g 4 a = τ 2 π n = 2 4 a g = b 2 4 = b a g = b 6.10 = Problem 22-29 The disk, having weight
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