Exercise 5.1: Find the Centroids of the following 2D plates: a) la"1t quadrant area bounded by y = 8:4: and y = 23:3 h) A synunetrioal 2D plate is bounded by the curves 3.: = .153. y = :t'3 and y = 2? . ~ 1 e) A thin metal plate covers the la"t quadrant area bounded by .1" 2 {fit and .1" = .t 4 d) A synunetrieal 2D plate is bounded by the tunes y = x2 3. y =12 e) A synunetrieal 2D plate is bounded by the tunes y = 93'2. y = O I) A synunetrieal 2D plate is bounded by the curve 31:: = 4.1: and :t = 4 g) l3t quadrant area bounded by y : XL and 3.,- = 4 h) l3t quadrant area bounded by y 2 xi and .1: = 2 i) Quarterelliptical area in the la"1t q. L + '1" =1 (Area of ellipse = Inf) } 9 4 j) Quarter circular area in the lSit quadrant with the radius of 4