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 3000√/3³ (√3-y)ydy ℗ 6000√/35 (√3y-y²) dy B) 9000 (√3y-y²) dy of (√3-y)ydy 4500

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 3000/3³√3-y)ydy
® 6000√/3³ (√3y-y2) dy
B
0
Ⓒ9000
00₁(√3y-y²) dy
0
D
[² (√3-y)ydy
4500
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 3000/3³√3-y)ydy ® 6000√/3³ (√3y-y2) dy B 0 Ⓒ9000 00₁(√3y-y²) dy 0 D [² (√3-y)ydy 4500
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