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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.) O 300√/55 (√3-y), dy 0 O 4500 of (√3-y)ydy 9000 / (√53-3²) dy O 6000√3 (√3y-y2) dy 0

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 300√/55 (√3-y), dy 0 O 4500 of (√3-y)ydy 9000 / (√53-3²) dy O 6000√3 (√3y-y2) dy 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.) O 3000√√3 0√35 (√3-y)ydy 0 4500 0₁ (√3-y)ydy 0 O 9000/(√3y-y²) dy O 6000√/3¹ (√3y-y²) dy 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.) O 3000√√3 0√35 (√3-y)ydy 0 4500 0₁ (√3-y)ydy 0 O 9000/(√3y-y²) dy O 6000√/3¹ (√3y-y²) dy 0
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