HW_4_solutions - Cle Jos- _Uw#/ -1,, 1-+,>*,...

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Unformatted text preview: Cle Jos- _Uw#/ -1,, 1-+,>*, 2,64 Gate ABC in Fig. P2.64 has a fixed hinge at B and is 2 m rvide into the paper. If the water level is high enough. the gate r'vill open. Compute the depth ft for rvhich this happens. Solution: Let H = (h - I meter) be the depth down to the level AB. The fbrces on AB and BC are shown in the fieebodi' at right. The moments ofthese forces about B are equal rvhen the gate opens: I M u = 6 = 7 H ( 0 . 2 ) b ( 0 . 1 ) r H , / H ) = v ] : l ( F I b ) l - | ' \ 2 ' \ 3 ' , o r : H = 0 . 3 4 6 m , h = H + 1 = 1 . 3 4 6 m A n s . This solution is independent of both the water densir,"" and the gate width 6 into the paper. 1 m Fig. P2.64 lB l0 cm I 2.86 The quarter circle gate BC in Fig. P2.86 is hinged ar C. Find the horizontal force P required to hold the gate stationary. The width D into the paper i s 3 m . N e g l e c r t h e u e i g h t o f r h e g a r e . Solution: The horizontal component of water force is c Fig. P2.86 F" = th.oA = (9790 N/m3Xt m)[(2 m)(3 m)]...
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HW_4_solutions - Cle Jos- _Uw#/ -1,, 1-+,>*,...

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