Explanation Given information: W i d t h of gate(b) = 2 m L e n g t h of gate AB = 20 cm We will calculate the force on both gate then taking their moment about point B. Consider the length of gate BC = L C e n t e r of gravity of gate AB ( X ¯ A B )= L C e n t e r of gravity of gate BC ( X ¯ B C )= L/2 Sin c e gate AB is horizontal therefore its depth of center ( h A B ¯ ) = X A B ¯ = L N o w , d e p t h of center of gate BC h B c ¯ = I G Sin 2 90 A X B c ¯ + X B c ¯ W h e r e A is area of Gate BC = (L)*b= 2L

8th Edition

ISBN: 9780073398273

Author: Frank M. White

Publisher: McGraw-Hill Education

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Chapter 2, Problem 2.64P

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The value of “h” for which gate will be open.

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Chapter 2, Problem 2.63P

Chapter 2, Problem 2.65P

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