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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√/3√3y-y²) dy 1500 / (√3-y)sdy 3000/3√3-y)ydy 9000 / (√3y-3²) dy

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√/3√3y-y²) dy 1500 / (√3-y)sdy 3000/3√3-y)ydy 9000 / (√3y-3²) dy

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 11ECP
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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√√3 3³ (√3y-y²) dy 0 4500 of (√3-y)ydy 0 3000√(√3-y)ydy 9000 of (√3y-y²) dy 0 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.) 6000√√3 3³ (√3y-y²) dy 0 4500 of (√3-y)ydy 0 3000√(√3-y)ydy 9000 of (√3y-y²) dy 0 0
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