5. Fig. 1 shows a gate of length l and mass m pivoted on its top edge, A, at the water level of a reservoir. The gate is free to swing in an arc and is in equilibrium in the condition shown. There is no leakage at point B and both friction and air pressure can be neglected. a. By considering the pressure acting on an infintessimal element of the gate, show that the anticlockwise moment, M, due to the water, about A, is given by: 1 M =zpgbl° cos 0 where b is the width of the gate (into the page) and p is the density of the water. b. Calculate 0 given that l = 1 m and the mass of the gate is 1000 kg per unit width. PA b I cos0 Figure 1

5. Fig. 1 shows a gate of length l and mass m pivoted on its top edge, A, at the water level of a reservoir. The gate is free to swing in an arc and is in equilibrium in the condition shown. There is no leakage at point B and both friction and air pressure can be neglected. a. By considering the pressure acting on an infintessimal element of the gate, show that the anticlockwise moment, M, due to the water, about A, is given by: 1 M =zpgbl° cos 0 where b is the width of the gate (into the page) and p is the density of the water. b. Calculate 0 given that l = 1 m and the mass of the gate is 1000 kg per unit width. PA b I cos0 Figure 1

Name: 5. Fig. 1 shows a gate of length l and mass m pivoted on its top edge
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Description: 5. Fig. 1 shows a gate of length l and mass m pivoted on its top edge, A, at the water levelof a reservoir. The gate is free to swing in an arc and is in equilibrium in the conditionshown. There is no leakage at point B and both friction and air pre

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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