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1 m PART II. Show clearly all pertinent solutions and state the assumptions made, if any. Partial points may be rewarded. PROBLEM 1. The 7-m long, 2-m wide (dimension perpendicular to the paper) gate ABC shown in Figure 3 controls the flow of water in a certain open channel. It is hinged at B and attached to a spherical buoy, with specific gravity of 0.15, at A. The gate has weight of 1000 kN and rests on the bed at C. The gate is designed such that it will automatically open once it reached the design depth, h, in the channel. Note: Vsphere = 1½ ½πr³. 4 3 .3 a. [20%] Draw separately the free body diagram of gate ABC and the spherical buoy. Label clearly all forces and indicate properly their respective point of application. b. [20%] Determine the required tensile strength, in kN, of the cable connecting the buoy and the gate. c. [60%] Calculate the design depth, h. h NOTE: Figure not drawn to scale 60° A 2 m B 2-m wide 5 m Figure 3 C

1 m PART II. Show clearly all pertinent solutions and state the assumptions made, if any. Partial points may be rewarded. PROBLEM 1. The 7-m long, 2-m wide (dimension perpendicular to the paper) gate ABC shown in Figure 3 controls the flow of water in a certain open channel. It is hinged at B and attached to a spherical buoy, with specific gravity of 0.15, at A. The gate has weight of 1000 kN and rests on the bed at C. The gate is designed such that it will automatically open once it reached the design depth, h, in the channel. Note: Vsphere = 1½ ½πr³. 4 3 .3 a. [20%] Draw separately the free body diagram of gate ABC and the spherical buoy. Label clearly all forces and indicate properly their respective point of application. b. [20%] Determine the required tensile strength, in kN, of the cable connecting the buoy and the gate. c. [60%] Calculate the design depth, h. h NOTE: Figure not drawn to scale 60° A 2 m B 2-m wide 5 m Figure 3 C

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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1 m PART II. Show clearly all pertinent solutions and state the assumptions made, if any. Partial points may be rewarded. PROBLEM 1. The 7-m long, 2-m wide (dimension perpendicular to the paper) gate ABC shown in Figure 3 controls the flow of water in a certain open channel. It is hinged at B and attached to a spherical buoy, with specific gravity of 0.15, at A. The gate has weight of 1000 kN and rests on the bed at C. The gate is designed such that it will automatically open once it reached the design depth, h, in the channel. Note: Vsphere = 1½ ½πr³. 4 3 .3 a. [20%] Draw separately the free body diagram of gate ABC and the spherical buoy. Label clearly all forces and indicate properly their respective point of application. b. [20%] Determine the required tensile strength, in kN, of the cable connecting the buoy and the gate. c. [60%] Calculate the design depth, h. h NOTE: Figure not drawn to scale 60° A 2 m B 2-m wide 5 m Figure 3 C
Transcribed Image Text:1 m PART II. Show clearly all pertinent solutions and state the assumptions made, if any. Partial points may be rewarded. PROBLEM 1. The 7-m long, 2-m wide (dimension perpendicular to the paper) gate ABC shown in Figure 3 controls the flow of water in a certain open channel. It is hinged at B and attached to a spherical buoy, with specific gravity of 0.15, at A. The gate has weight of 1000 kN and rests on the bed at C. The gate is designed such that it will automatically open once it reached the design depth, h, in the channel. Note: Vsphere = 1½ ½πr³. 4 3 .3 a. [20%] Draw separately the free body diagram of gate ABC and the spherical buoy. Label clearly all forces and indicate properly their respective point of application. b. [20%] Determine the required tensile strength, in kN, of the cable connecting the buoy and the gate. c. [60%] Calculate the design depth, h. h NOTE: Figure not drawn to scale 60° A 2 m B 2-m wide 5 m Figure 3 C
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