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Lecture

# 8.3 Physics & Engineering Applications Question #7 (Medium)

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School
University of Toronto St. George
Department
Mathematics
Course
MAT136H1
Professor
all
Semester
Winter

Description
8.3 Challenging Integral Applications Physics & Engineering Applications Question #7 (Medium): Finding the Centroid of Region Bound by Two Curves Strategy When the region is bound by two functions and , one at the top and one at the bottom, then [ ] {[ ] [ ] } the calculations are as follows: ̅ ∫ and ̅ ∫ Where ∫ [ ] representing the total mass (ie. area) of the region. Thus, the coordinate for the centroid is at:̅ ̅ ( ) Sample Question Find the centroid of the area bound by the given functions. , Solution The functions are given in terms of y. There are two ways to solve: 1) rearrange the functions because it is possible in this case, to have them written in
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