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 B D 00√3√³ (√3-y) ydy of (√3y-y²) dy 6000√3 (√3y-y2) dy 9000 00/(√3-y)ydy 4500 0

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter8: Centroids And Distributed Loads
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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.)
√3
A
3000√3
(√3-y)ydy
1
(B 9000
of (√3y-y²) dy
0
Ⓒ6000√/3³ (√3y-y²) dy
0
Ⓒ 2500 / (√3-y)ydy
D
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.) √3 A 3000√3 (√3-y)ydy 1 (B 9000 of (√3y-y²) dy 0 Ⓒ6000√/3³ (√3y-y²) dy 0 Ⓒ 2500 / (√3-y)ydy D
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