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Question: the homogeneous plate defined by the shaded area and provided...

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The homogeneous plate (defined by the shaded area and provided equations) has a thickness of 5 cm and a density of p 2000 kg/m3. The coordinates of joint Bis (1,1) m according to the coordinate axis given. The plate is supported by a pin connection at A and the vertical cable BC. B (1, 1) m (a) Calculate the total area of the plate. Express your answer in units of meter. (b) Calculate the total weight of the plate. Express your answer in units of Newton. (c) Calculate the (x) location of the center of gravity of the plate from Joint A. Express your answer in units of meter. answer in units of meter. (e) Calculate the force existing in cable BC for static equilibrium. Express your answer in units of Newton. (f Calculate the magnitude and direction of the reaction at Joint A. Express your answer in units of Newton.

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