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.)

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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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
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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