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

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

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.4: Applications
Problem 9EQ
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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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