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√/3√3y-y²) dy 1500 / (√3-y)sdy 3000/3√3-y)ydy 9000 / (√3y-3²) dy

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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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√√3
3³ (√3y-y²) dy
0
4500
of (√3-y)ydy
0
3000√(√3-y)ydy
9000
of (√3y-y²) dy
0
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.) 6000√√3 3³ (√3y-y²) dy 0 4500 of (√3-y)ydy 0 3000√(√3-y)ydy 9000 of (√3y-y²) dy 0 0
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