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 6000√/3³ (√3y-1²) dy 0 3000- 0 00/(√3-y) ydy 0 9000 300/(√3y-y²) dy 4500

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A trough is full of liquid of weight density 9,000 M/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
O
300
√(√3-y)ydy
0
1500 (√3-y)ydy
0
of (√3y-y²) dy
0
O
9000
Transcribed Image Text:A trough is full of liquid of weight density 9,000 M/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 O 300 √(√3-y)ydy 0 1500 (√3-y)ydy 0 of (√3y-y²) dy 0 O 9000
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