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.) 6000 √(√3y-y²) dy 0 √(√3y-y²) dy 0 √(√3-y)ydy 0 3000 00√/3³ (√3-y)ydy 0 B 9000 Ⓒ4500

Mathematics For Machine Technology
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Author:Peterson, John.
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Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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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.)
6000√/3³ (√3y-y²) dy
0
9000
/ (√3y-y²) dy
4500
of
(√3-y)ydy
0
3000√√(√3-y)ydy
0
B
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.) 6000√/3³ (√3y-y²) dy 0 9000 / (√3y-y²) dy 4500 of (√3-y)ydy 0 3000√√(√3-y)ydy 0 B
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