Chapter 9, Problem 57P

The sheet metal trough has a uniform wall thickness. Determine the coordinates of its center of gravity.

Locate the centroid of the volume generated by revolving the area shown about the line AB. Use numerical integration.

The center of gravity of the 850-N man is at G. If the man pulls on the rope with a 388-N force, determine the horizontal distance b between the man's feet and G.

Determine the volume, by using Pappus’ Theorem, generated by revolving the composite areas about the x-axis.

Find the volume of the solid generated by revolving the specified region about the given line. R about x = 0 y =6 1- y =x 0.5 R 0.

Find the area between the curve y=x^2 and the line 2x+y=8. Determine also the x and y component of the centroid of the area.

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

y 1 m В 1 m y = x? The center of gravity about y- axis of the of this homogeneous circular bar is

Locate the centroid of the given area under the two curves y Y₂=(2x)¹/2 2 cm Y₁=X³/4 2 cm - X