That is when the water depth exceeds 4 m the gate opens, Physics

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That is when the water depth exceeds 4 m the gate opens

The homogeneous gate shown in Fig. P2.122 consists of one quarter of a circular cylinder and is used to maintain a water depth of 4 m. That is, when the water depth exceeds 4 m, the gate opens slightly and lets the water flow under it. Determine the weight of the gate per meter of length.

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