Determine the plates natural frequency

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Reference no: EM131465258

Question: Figure shows a plate with mass m = 2000 kg that is supported by four identical columns that are cantilevered from the ground. Each column has length l = 2 m and a square cross section with side dimension b = 75 mm. The columns are made from steel with modulus of elasticity of E = 210 GPa. The plate is attached to the tops of the columns with pin connections.

Tasks: (a) Develop the plate's EOM in the horizontal direction, using X to define its position.

(b) Determine the plate's natural frequency.

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Reference no: EM131465258

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