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13 Nov 2019
Please answer with complete steps
We consider a closed region D in the xy-plane. The point of centroid (x,y) of D can be calculated by the following integrals ydA Formula A) where A is the area of the region, given by A- JJp ldA. You can read textbook section 15.4 for the derivation of this formula, or see Wikipedia: Centroid If C is the boundary of the region D, by Green's theorem (in section 16.4), the centroid can be also expressed as line integrals 2 y dx, (Formula B) 2A where A is the area of the region D. Consider the shaded region shown in the figure, bounded by a circle of radius 2 and a horizontal line segment between the points A(-V2,-V2), B (-/2,-V2) Task (1) Use the above formula (A) to find the point of the cen- troid. of the shaded region in the figure Task (2) Use the formula (B) to re-calculate the centroid of the shaded region in the figure. You should get the same answer of the centroid as part (1).
Please answer with complete steps
We consider a closed region D in the xy-plane. The point of centroid (x,y) of D can be calculated by the following integrals ydA Formula A) where A is the area of the region, given by A- JJp ldA. You can read textbook section 15.4 for the derivation of this formula, or see Wikipedia: Centroid If C is the boundary of the region D, by Green's theorem (in section 16.4), the centroid can be also expressed as line integrals 2 y dx, (Formula B) 2A where A is the area of the region D. Consider the shaded region shown in the figure, bounded by a circle of radius 2 and a horizontal line segment between the points A(-V2,-V2), B (-/2,-V2) Task (1) Use the above formula (A) to find the point of the cen- troid. of the shaded region in the figure Task (2) Use the formula (B) to re-calculate the centroid of the shaded region in the figure. You should get the same answer of the centroid as part (1).
Lelia LubowitzLv2
8 Mar 2019