Chapter 9, Problem 53P

Locate the centroid of the cross section below Hint: Cut the cross section into a rectangular shapes and determine thecentroids of the each rectangle. Use the formula AT (X) = A1 (x1) + A2(x2) + A3 (x3) to solve for x and AT (y)= A1(y1) + A2 (y2) + A3y3t o solve for Y. AT = A1+A2 + A3

Locate the centroid z of the homogeneous solid formed by revolving the shaded area about the z axis. 2ft :=}(12- sy) 2ft 1.5 ft-

determine the centroid of the surface given in the figure and its static moment against the X and Y axes of the coordinate system 3m- 5m y 1m Figura 1 5m 2m X

Determine the centroid x and y of the parabolic area. Let n = 3, L = 10, b = 3. L - b L bn y = - xn X

Find the centroid (x̄, ȳ) of the area between the function and the y-axis from y = 0 to y = 3.1, given: y = 4·x3

Determine the coordinates of the centroid of the shaded area. + 175 mm - 175 mm * 135 mm 120 mm 70mm 120 mm Answers: (X, Y) = ( i ) mm i

Determine the centroid of the area shown by direct integration. Express your answer in terms of a and h. It is given that l = 3a.    x¯ : 1/3   1/3 a correct y¯ : 0.667  0.667 h correct

Find the centroid (x̄, ȳ) of the shaded area, given the functions:  yUPPER = 2·x   and   yLOWER = (1/8)·x3.The functions intersect at the origin and x = 4.

Locate the centroid x¯ of the parabolic area. Take a = 9 in , h = 12 in .