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An artist has decided to finish their piece of artwork by balancing it on a fulcrum and putting it on display. The artwork has constant density and must be balanced at its centroid. The shape of the artwork was created on a computer program then casted and fabricated. The following equation was put into the computer to generate the shape: y = 1 sin(x) + 3 bounded by x = 0, x= 2, and y = 0 Draw the Lamina in an x-y plane and put a dot where the centroid should be. Show all work and formulas you are using. The centroid is at (x,y), where x = y =

An artist has decided to finish their piece of artwork by balancing it on a fulcrum and putting it on display. The artwork has constant density and must be balanced at its centroid. The shape of the artwork was created on a computer program then casted and fabricated. The following equation was put into the computer to generate the shape: y = 1 sin(x) + 3 bounded by x = 0, x= 2, and y = 0 Draw the Lamina in an x-y plane and put a dot where the centroid should be. Show all work and formulas you are using. The centroid is at (x,y), where x = y =

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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An artist has decided to finish their piece of artwork by balancing it on a fulcrum and putting it on display. The artwork has constant density and must be balanced at its centroid. The shape of the artwork was created on a computer program then casted and fabricated. The following equation was put into the computer to generate the shape: y = 1 sin(x) + 3 bounded by x = 0, x = 2, and y = 0 Draw the Lamina in an x-y plane and put a dot where the centroid should be. Show all work and formulas you are using. The centroid is at (x, y), where x = Y II
Transcribed Image Text:An artist has decided to finish their piece of artwork by balancing it on a fulcrum and putting it on display. The artwork has constant density and must be balanced at its centroid. The shape of the artwork was created on a computer program then casted and fabricated. The following equation was put into the computer to generate the shape: y = 1 sin(x) + 3 bounded by x = 0, x = 2, and y = 0 Draw the Lamina in an x-y plane and put a dot where the centroid should be. Show all work and formulas you are using. The centroid is at (x, y), where x = Y II
A circular swimming pool has a diameter of 16 m, the sides are 4 m high, and the depth of the water is 4 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to m kg gravity is 9.8 and the density of water is 1000 $² m³ .)
Transcribed Image Text:A circular swimming pool has a diameter of 16 m, the sides are 4 m high, and the depth of the water is 4 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to m kg gravity is 9.8 and the density of water is 1000 $² m³ .)
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