A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral triangles with sides 2 m long and with vertex at the bottom. Setup the integral for the force on one end of the trough. (Hint: Put the bottom of the trough along the x-axis.)
A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral triangles with sides 2 m long and with vertex at the bottom. Setup the integral for the force on one end of the trough. (Hint: Put the bottom of the trough along the x-axis.)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral triangles with sides 2 m long
and with vertex at the bottom. Setup the integral for the force on one end of the trough. (Hint: Put the bottom of the trough
along the x-axis.)
![A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral triangles with sides 2 m long
and with vertex at the bottom. Setup the integral for the force on one end of the trough. (Hint: Put the bottom of the trough
along the x-axis.)
O
3000√/3³ (√3-y)ydy
0
O
9000
of (√3y-y²) dy
0
4500
of (√3-y)ydy
0
000/5²
5√√³ (√3y-y²) dy
6000 3
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd459b07-ef6e-48dd-8d5c-e1fa8dc13364%2F59f2af44-1d5a-4ca1-a1b4-9d5489206307%2F9o3sx8i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral triangles with sides 2 m long
and with vertex at the bottom. Setup the integral for the force on one end of the trough. (Hint: Put the bottom of the trough
along the x-axis.)
O
3000√/3³ (√3-y)ydy
0
O
9000
of (√3y-y²) dy
0
4500
of (√3-y)ydy
0
000/5²
5√√³ (√3y-y²) dy
6000 3
0
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