Given a = 8 m, b = 3 m, and the curve y = 3 634x² y ↑ b ✓ X α determine the shaded area's centroid x. m y X

2. Locate the centroid of the area bounded by the axis & the sine curve y= asin rx/L from 0 to L. v= asin rx/L y FiL

Q4/A/Locate the centroid (x,y) of the cross-sectional area as shown in figure 5. 125 mm 125 mm 200 mm 200 mm 60 mm 150 mm

The location of the centroid from the x-axis is equal to

Show full and complete solution Change the following given X to 8 Y to 3 Z to 7

(a) Find the centroidal axes (coordinates xc and xs) of the given composite area. (b) Determine ly of the composite area about its y-centroidal axis found in part (a). Enter the ly value as the answer in the Respondus answer-box. y 1 in 5 in 3 in 2 in 3 in 3 in 6 in X

For the shaded region shown, determine the following using vertical strip: a. Area X= 2y -3 4 b. First moment of the shaded area with respect to x-axis c. First moment of the shaded area with respect to y-axis d. Centroid (x, ỹ) 2 1 -1 -1 0 1 2 3 4 5 Answer: Area = 343/48 units?; Q, = 2401/240 units3; Qy = 1029/64 units; (x, y)= (9/4, 7/5) 5. 3.

Determine the centroid of the given figure. 120 mm 60 mm 40 mm 80 mm 60 mm O x = 55.45 mm and y = 35.65 mm %3D O x = 53.70 mm and y = 37.70 mm O x = 56.83 mm and y = 37.62 mm O x = = 54.10 mm and y = 36.30 mm O x = 53.56 mm and y = 35.63 mm O x = 56.80 mm and y = 37.10 mm O x = 55.76 mm and y = 36.65 mm O x = 54.80 mm and y = 36.60 mm

find the x coordinate of the centroid of the composite line shown

b - b= 134 mm, r=68 mm For the given composite geometry locate the centroid of the plane area shown The location of the centroid: Along x-direction is: mm. (answer to the nearest whole number) Along y-direction is: mm. (answer to the nearest whole number)