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 9000 of (√3y-y²) dy B of (√3-y)ydy D 4500 6000√3 (√3y-y²) dy 0 3000/3³ (√3-y)ydy 0

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
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.)
A
9000
of (√3y-y²) dy
B
of (√3-y)ydy
D
4500
6000√3
(√3y-y²) dy
0
3000/3³ (√3-y)ydy
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.) A 9000 of (√3y-y²) dy B of (√3-y)ydy D 4500 6000√3 (√3y-y²) dy 0 3000/3³ (√3-y)ydy 0
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