QUESTION 19 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 en bottom of the trough along the x-axis.) O 9000 00f (√3y-y²) dy 0 O 3000√/5² (√5 - 1) ² 0 O 4500/(√3-y)ydy 6000 200√√√(√3y-y2) dy 0 O

Trigonometry (MindTap Course List)
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ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
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QUESTION 19
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.)
9000
0₁ (√3y-y²) dy
0
3000/3
(√3-y)ydy
0
500 / (√3-y)ydy
6000/3(√3y-y²) dy
0
Transcribed Image Text:QUESTION 19 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.) 9000 0₁ (√3y-y²) dy 0 3000/3 (√3-y)ydy 0 500 / (√3-y)ydy 6000/3(√3y-y²) dy 0
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