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atmospberic pressure, and let tbe surfacc hm unit width. Compute tbe honzontal and veitical compocents of the by-drastatic fotce on the quarter-circle panel at tbe botiom of tbe water tank in Fig. P2.85.

2.88 Gate ABC is a drcular arc, sometimes called a Tainter gale, which can be raised and lowered by pivoting about point O. See Fig. P2.88. For the position shown, determine (o) the hydrostatic force of the water on the gate and (b) its linę of acdon. Does the force pass through point Ol

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Fig. P2J15

Compute the borizontal and yertical compooents of the hydrostatic fotce on the bemispherical bulge at the bottom of tbe tank in Fig. P2.86.

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2.89 Compute the hydrostatic force and its linę of action on the semicylindrical bulge ABC in Fig. P2.89.    ***’■*

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Benzene at 20' C

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Tbe bottle of cbampagne (SG = 0.96) in Fig. P2.87 is under pressure. as shown by the mercury-manometer reading. Compute the net force on the 2-in-radius bemispherical end cap at the bonom of the bottle.

Fig. P2JJ9

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Problems lOi

2.90 A 1 -ft-diameter hole in the bottom of the tank in Fig. P2.90 is closed by a conical 45° pług. Neglecting the weight of the pług, compute the force F reouired to keęp the pług in the bole.

p 13 Ibf/in²gage

2.91 The hemispheiical dome in Fig. P2.91 weighs 30 kN and is filled with water and attached to the floor by six equally spaced bolts. What is the force in each bolt reąuired to hołd down the dome?

.92 A 4-m-diameter water tank consists of two half cylinders, each weighing 4.5 kN/m, bolted together as shown in Fig.

Bolt spacing 25 cm Fig. P2.92

P2.92. If the support of the end caps is ncglected. determine the force induced in each bolt.

2.93 In Fig. P2.93 a one-quadrant spherical shell of radius R is submerged in liquid of specific gravity y and depth h > R. Ftnd an analytic expression for the resultant hydrostatic force. and its linę of action. on the shell surface.

Fig. P2.93

2.94 The 4-ft-diameter log (SG = 0.80) in Fig. P2.94 is 8 ft long into the paper and dams water as shown. Compute the net vertical and horizontal reactions at point C.

Fig. P2.94

2.95 The 2-m-diameter cylinder in Fig. P2.95 is 4 m long into the paper and rests in stanc equilibrium against the smooth wali at point B. Compute (a) the weight and (b) the specific gravity of the cylinder. Assume zero wali friction at point B.

2.96 The tank in Fig. P2.96 is 3 m wide into the paper. Neglecting

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