Chapter 10, Problem 40P

1. Determine the value of y= 2. determine the value of I with respect to centroidal x axis=

Find the centroid of the region bounded by the graphs of the functions y = 7², y = x² + 4 The centroid is at (ī, j) where = 23

For a beam with the cross-section shown, calculate the moment of inertia about the z axis. Assume the following dimensions: by-83mm h₂ = 15 mm by 9 mm b₂-72 mm by-35 mm h-24 mm The centroid of the section is located 65 mm above the bottom surface of the beam. M₂ H Answer: mm by

determine the centroid of the surface given in the figure and its static moment against the X and Y axes of the coordinate system 4m y 2m X

The weight of the shaded area given in the figure Calculate the y coordinate of the center. a(mm)=95 , b(mm)=65 , c(mm)=35 , d(mm)=190 , e(mm)=55

Find the y centroid of beam's cross sectionalarea. Disregard the dimension between bolts. Give your answer in mm. 100 mm 60 mm 260 mm J200 mm 20 mm 20 mm Y = mm

Find the centroid of area at x and y. Considere H = 83

Determine the vertical distance from the lower edge of the built-up wooden beam to the location of the centroid. 2.00" 16" 2.00" Answer: H = IN 20" 11" 2.00" H in.

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