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 √(√3-y)ydy 0 6000√/3³ (√3y-y²) dy 0 4500 of (√3-y)ydy 00f (√3y-y²) dy 0 9000

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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.)
о
√3
3000
√5 / (√3-y)ydy
0
6000 √/3³ (√3y-y²) dy
0
4500 / (√3-y) yes
(√3y-y²) dy
0 /
9000
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.) о √3 3000 √5 / (√3-y)ydy 0 6000 √/3³ (√3y-y²) dy 0 4500 / (√3-y) yes (√3y-y²) dy 0 / 9000
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