Question

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=3sin(πx)+4 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 =

Answer 1

2_ (き ) 8 千/ 16 enc e cantes oms g 4