Question

Determine the x and y coordinates of the centroid of the shaded area. 225 mm 75 mm Som 150 mm

Answer 1

Week 10 The given area is divided into three parts os rectangle, triangle and Circle ® Then he rectangle and Exiangle are 225rom added and circle is Subtracted from that area. -Centroid of c, x,y) is centre a (010) Gentteid of rectangle 145561 = (2,4)=(50,225) = (25, 112.5 150 area of AIZ 50x25 = TA = 11250mm area of 0 A2 = 1x 150x225 A = 16875mm- Centriod of @ C2 (X2, Yz) = (-b, b) = (-150, 25) =(-56,75) Centroid of > is Centre of Circle. C36303,93) May C3(23, 93) = (-75, 7 , C303, 33) = (-37 5,375) area of circe Az = II (758 ) [A3 = 4 4 17.86mm 2 - centroid (XLY) - A,at A22 Azaz - 11250x25+ 168756-50) 0,4417086(-375 A TAL-A3 bec=-16 74mm) 11250 +16875-44 17086 YC = AY + A2Y2 - A243_11250 (1125)+16875(75)-441786(375) Alt Az - A3 11250 +16875-4417.86 - Yc= 99.78mm) .: Centroid of the shaded region is (x, y) = (-16.74,99-78) mm with respect to origin o(0,0)