Meriam, Kraige & Bolton — Statics of Particles: Problem 2_135

⚡ Mecademy AIENG정역학 · ch2  Problem Statement 2/135 Determine the x- and y-coordinates of a point through which the resultant of the parallel forces passes. Diagram for Problem 2/135 showing a bent plate with five parallel forces acting on it. Forces of 50 lb and 60 lb act on the left edge, 70 lb at the first bend corner, 30 lb and 80 lb at the far right corner. Dimensions given: 8 inches, 10 inches, 10 inches, 12 inches, and 6 inches. Coordinate axes x, y (vertical), and z are shown. Problem 2/135 ● 1. Analysis of the Force System and Geometry From the provided diagram, we have a structure consisting of three vertical rectangular plates joined at right angles. There are five parallel forces acting on this structure, all directed vertically downwards (parallel to the -axis). We need to find the coordinates of the point through which their resultant force passes in the horizontal plane. Note on Coordinates: Although the problem text asks for "x- and y-coordinates", the diagram explicitly labels the vertical axis as and the horizontal axes as and . In most engineering contexts, we find the coordinates of the resultant in the plane perpendicular to the forces. Thus, we will calculate the resultant's position as in the horizontal plane. Coordinates of Points of Application (x, y, z): Origin is at the bottom of the first bend. : At the top-left corner. Coordinates: . : On the left-most vertical edge, from the top. Coordinates: . : At the top corner of the first bend. Coordinates: