Question

Example #3: Using composite bodies and a tabular method, locate the centroid for the shaded area shown measured from the x and y axes. 150 mm 150 mm 150 mm - 200 mm -

Answer 1

150 ml 150 mm 19 200 ml A = 350x300 Ai= 105,000 mm 21= 350 - 175 mm 300mm 81 = 300 - 150 mm Az = +x150x350 3 som A2- 22500 mm2 x2 = 150 - 75 mm Y2 - 2x15650-100 mm 300 A3=rx (150)2 A3=17662.5 mm2 3= 150+50 + 4x150 - 263.69 mm 3x3.14 kasoma 1 11 Son Y3 = 4x150 = 63.69 mm 3 x 3.14 ã - AIX- (A2X2+ A373) A,- (A2+ A3) - 105000X175-(22500X75+17662.5x26369) 105000 - (22 500+ 17662.5) x = 185.54 mm y A14,- (A2 Y2 + A343) A1-(A2+ A3) - 105000 X 150 - (22500X100 +17662.5 x 63.69) 105000- (22 500+ 17662.5) = 190.86 mm so Centroid Cac, T) = (185.54mm, 190.86mm) Any