Meriam, Kraige & Bolton — Statics of Particles: Problem 2_141

⚡ Mecademy AIENG정역학 · ch2  Problem Statement 2/141 Replace the three forces acting on the rectangular solid with a wrench. Specify the magnitude of the moment M associated with the wrench and state whether it acts in a positive or negative sense. Specify the coordinates of the point P in plane ABCD through which the line of action of the wrench passes. Illustrate the wrench moment and resultant in an appropriate sketch. Problem 2/141 1. Identify Force Vectors and Their Points of Application From the provided diagram, we identify three forces and their respective points of application in the given coordinate system. The origin is at the front-left- bottom corner. Dimensions are in millimeters (mm). Force : Magnitude , acts at point on the top-left edge. Point . The arrow is parallel to the -axis and points in the positive direction. Force : Magnitude , acts on the bottom-right edge. The point is at and is from the -axis along the -direction. Point of application is . The arrow points downwards in the negative -direction. Force : Magnitude , acts on the back-right edge. The point is at at a height of . Point of application is . The arrow points in the positive -direction. 2. Calculate Resultant Force The resultant force is the vector sum of all applied forces: ● Calculation Process x−y−zO F 1 10 NDD= (0,50,80) mmx F = 1 10i N F 2 40 Nx= 40 mm40 mmxy (40,40,0) mmz F = 2 −40k N F 3 20 Nx= 40 mm,y=100 mm40 mm (40,100,40) mmy F = 3 20j N R 1. Final Formula: 2. Substitute Values: 3