Question

2013 Michael Swanbom ------- Dimensions: 0.72 in 0.62 in Problem Statement: The convex curved boundary of the shape shown is a portion of a circle centered at the origin. The concave curved boundary is a half-circle. Given the dimensions above, find: • the x location of the centroid of the shape, and, • the y location of the centroid of the shape Answers: I centroid = Ycentroid = be sure to include units with your answers

Answer 1

a=0.72 in &=0.62 in R=10+ (2x) = - 160-% + (2x8-425 tano a or tant C372) = 30:1419 20 = 60.282") 4 - xxx - (145) x A, = 1.080 in 8, - xay 27 - 47 - 012x12 = -4 4 6 - Aga 4x = (0-62) = 0.6038 in? = 1.433 in. 4R4X4330608 37 37 2, zo, y = 2 x 433X Bin 30.14) 30141x7 180 y = 0.911 in X = 2q = 2x 0,92, 0.48 in , yz - 2 = 20, 0:48. *3 = 420.72in, Ja= = 0.62 im. 1.08xot 0.446uxo.u8- 0.603880 72 1.08 +0.4464 -0.6038 7c = A x + z2z - Azaz A+ Az - Az De = -0.2389 in ] Ay+ A Y₂ - Az 1.0800.911 to 4464 x 0.48- 0.60388 0.62 A+A₂ - As 1.08to.uusu - 0.6038 y = 0.892 in