A 6-in.-diameter piston is located within a cylinder that

Chapter 2, Problem 2.74

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A 6-in.-diameter piston is located within a cylinder that is connected to a \(\frac{1}{2}\)-diameter inclined-tube manometer as shown in Fig. P2.74. The fluid in the cylinder and the manometer is oil (specific weight \(=59~ \mathrm{lb/ft^3}\)). When a weight, \(\mathscr W\), is placed on the top of the cylinder, the fluid level in the manometer tube rises from point (1) to (2). How heavy is the weight? Assume that the change in position of the piston is negligible.

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