Question

3.47 Determine the coordinates of the centroid of the 244 mm, shaded area. Ans. X Y 117.7 mm y 200 mm + 150 mm 200 mm 125 mm 60 mm 125 mm 1

Answer 1

Y 200mm 200 on" 150mm 125mm 60mm Ji 125mm A A ni =56) is to three parts Divide above diagram circle ① Rectangle ③ triangle Rectangle in Area of rectangle = A = 400*150= 1,00,000 mm Area centroid (20) = 3 (400) -200 mm Centroid (97) = 1 / 2 (250) = 125 mm circle o 8=60mm d=120mm Area of circle (A₂) = 1 1 1 (gs) = 11309.77 m centroid (X2) 900 mm Centroid (Y) = 125mm.

triangle. of triangle Area (A3)= (150).250 2 = 18,750 mm² Centroid (3) = 400+50 2450 mm. Centroid (9) 250 - 83.33 mm. triangle. shaded Area include only rectangle & 100000 A, ao AzW + Ang Caini EA AT ATAS 1,00,ooox 200 – 11309. II X200 +18750x450 100000-11309.77 +18750 243.62 244mm. 7 = 244 mm Y Aiy, - A.Y + As Y SA;Y Eai Air Azt AI 100000 x125 - 1309.77 X15 +18750x83.33 100000 11309.77+18750 => 117-7mm = 117. Imm