A dam is used to store water, and a rectangular gate which is hinged at its bottom edge is used to control the flow as shown in figure 1. For this gate, width = 1 m (in the direction of the page) , α = 65°, h1 = 1 m, and h2 = 5 m.   a. Describe the forces acting on the gate and the center of pressure. b. Determine the resultant force and the position of the center of pressure on the gate. c. What is the maximum gate mass that is needed for it not to fall

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Task 1:
A dam is used to store water, and a rectangular gate which is hinged at its bottom edge is used
to control the flow as shown in figure 1. For this gate, width = 1 m (in the direction of the page)
, α = 65°, h1 = 1 m, and h2 = 5 m.

 

a. Describe the forces acting on the gate and the center of pressure.
b. Determine the resultant force and the position of the center of pressure on the gate.
c. What is the maximum gate mass that is needed for it not to fall?
d. Show yc, yR, hc, hR, FR, and W on the free body diagram.

Task 1:
A dam is used to store water, and a rectangular gate which is hinged at its bottom edge is used
to control the flow as shown in figure 1. For this gate, width = 1 m (in the direction of the page)
, a = 65°, hị = 1 m, and h2 = 5 m.
hi
Water
Atmospheric
pressure
Gate
h2
Hinge,
Figure 1: Schematic for task 1. (Giancoli et al.)
a. Describe the forces acting on the gate and the center of pressure.
b. Determine the resultant force and the position of the center of pressure on the gate.
c. What is the maximum gate mass that is needed for it not to fall?
Transcribed Image Text:Task 1: A dam is used to store water, and a rectangular gate which is hinged at its bottom edge is used to control the flow as shown in figure 1. For this gate, width = 1 m (in the direction of the page) , a = 65°, hị = 1 m, and h2 = 5 m. hi Water Atmospheric pressure Gate h2 Hinge, Figure 1: Schematic for task 1. (Giancoli et al.) a. Describe the forces acting on the gate and the center of pressure. b. Determine the resultant force and the position of the center of pressure on the gate. c. What is the maximum gate mass that is needed for it not to fall?
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