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
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23067924-0c25-4da4-bd00-385725079ded%2F60f0bd8e-186e-4339-942d-fe6410a9121d%2F9b3023w_processed.jpeg&w=3840&q=75)
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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